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Finding the Fourth Proportional to 152,130.58, 209,938.39 and 84,142.22

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Solution

The fourth proportional to 152,130.58, 209,938.39 and 84,142.22 is: 116,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,130.58 : 209,938.39 = 84,142.22 : x
  2. Step 2: Convert to fraction form
    152,130.58/209,938.39 = 84,142.22/x
  3. Step 3: Cross multiply
    152,130.58x = 209,938.39 × 84,142.22
  4. Step 4: Simplify right side
    152,130.58x = 17,664,680,937.78
  5. Step 5: Solve for x
    x = 17,664,680,937.78/152,130.58
  6. Step 6: Final answer
    x = 116,115.26

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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.