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Finding the Fourth Proportional to 197,896.50, 295,758.27 and 144,700.47

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Solution

The fourth proportional to 197,896.50, 295,758.27 and 144,700.47 is: 216,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,896.50 : 295,758.27 = 144,700.47 : x
  2. Step 2: Convert to fraction form
    197,896.50/295,758.27 = 144,700.47/x
  3. Step 3: Cross multiply
    197,896.50x = 295,758.27 × 144,700.47
  4. Step 4: Simplify right side
    197,896.50x = 42,796,360,675.39
  5. Step 5: Solve for x
    x = 42,796,360,675.39/197,896.50
  6. Step 6: Final answer
    x = 216,256.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.