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Finding the Fourth Proportional to 200,126.54, 299,795.31 and 162,728.84

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Solution

The fourth proportional to 200,126.54, 299,795.31 and 162,728.84 is: 243,772.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,126.54 : 299,795.31 = 162,728.84 : x
  2. Step 2: Convert to fraction form
    200,126.54/299,795.31 = 162,728.84/x
  3. Step 3: Cross multiply
    200,126.54x = 299,795.31 × 162,728.84
  4. Step 4: Simplify right side
    200,126.54x = 48,785,341,534.76
  5. Step 5: Solve for x
    x = 48,785,341,534.76/200,126.54
  6. Step 6: Final answer
    x = 243,772.48

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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.