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Finding the Fourth Proportional to 130,998, 180,777.24 and 71,382

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Solution

The fourth proportional to 130,998, 180,777.24 and 71,382 is: 98,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,998 : 180,777.24 = 71,382 : x
  2. Step 2: Convert to fraction form
    130,998/180,777.24 = 71,382/x
  3. Step 3: Cross multiply
    130,998x = 180,777.24 × 71,382
  4. Step 4: Simplify right side
    130,998x = 12,904,240,945.68
  5. Step 5: Solve for x
    x = 12,904,240,945.68/130,998
  6. Step 6: Final answer
    x = 98,507.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.