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Finding the Fourth Proportional to 202,829.76, 304,288.11 and 60,686.10

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Solution

The fourth proportional to 202,829.76, 304,288.11 and 60,686.10 is: 91,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,829.76 : 304,288.11 = 60,686.10 : x
  2. Step 2: Convert to fraction form
    202,829.76/304,288.11 = 60,686.10/x
  3. Step 3: Cross multiply
    202,829.76x = 304,288.11 × 60,686.10
  4. Step 4: Simplify right side
    202,829.76x = 18,466,058,672.27
  5. Step 5: Solve for x
    x = 18,466,058,672.27/202,829.76
  6. Step 6: Final answer
    x = 91,042.16

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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.