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Finding the Fourth Proportional to 152,024.34, 209,775.42 and 84,032.13

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Solution

The fourth proportional to 152,024.34, 209,775.42 and 84,032.13 is: 115,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,024.34 : 209,775.42 = 84,032.13 : x
  2. Step 2: Convert to fraction form
    152,024.34/209,775.42 = 84,032.13/x
  3. Step 3: Cross multiply
    152,024.34x = 209,775.42 × 84,032.13
  4. Step 4: Simplify right side
    152,024.34x = 17,627,876,150.90
  5. Step 5: Solve for x
    x = 17,627,876,150.90/152,024.34
  6. Step 6: Final answer
    x = 115,954.30

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