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Finding the Fourth Proportional to 197,222.50, 295,833.75 and 65,894.50

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Solution

The fourth proportional to 197,222.50, 295,833.75 and 65,894.50 is: 98,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,222.50 : 295,833.75 = 65,894.50 : x
  2. Step 2: Convert to fraction form
    197,222.50/295,833.75 = 65,894.50/x
  3. Step 3: Cross multiply
    197,222.50x = 295,833.75 × 65,894.50
  4. Step 4: Simplify right side
    197,222.50x = 19,493,817,039.38
  5. Step 5: Solve for x
    x = 19,493,817,039.38/197,222.50
  6. Step 6: Final answer
    x = 98,841.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.