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Finding the Fourth Proportional to 152,414.10, 210,329.18 and 84,430.86

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Solution

The fourth proportional to 152,414.10, 210,329.18 and 84,430.86 is: 116,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,414.10 : 210,329.18 = 84,430.86 : x
  2. Step 2: Convert to fraction form
    152,414.10/210,329.18 = 84,430.86/x
  3. Step 3: Cross multiply
    152,414.10x = 210,329.18 × 84,430.86
  4. Step 4: Simplify right side
    152,414.10x = 17,758,273,550.49
  5. Step 5: Solve for x
    x = 17,758,273,550.49/152,414.10
  6. Step 6: Final answer
    x = 116,513.32

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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.