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Finding the Fourth Proportional to 152,061.20, 209,836 and 84,074.20

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Solution

The fourth proportional to 152,061.20, 209,836 and 84,074.20 is: 116,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,061.20 : 209,836 = 84,074.20 : x
  2. Step 2: Convert to fraction form
    152,061.20/209,836 = 84,074.20/x
  3. Step 3: Cross multiply
    152,061.20x = 209,836 × 84,074.20
  4. Step 4: Simplify right side
    152,061.20x = 17,641,793,831.20
  5. Step 5: Solve for x
    x = 17,641,793,831.20/152,061.20
  6. Step 6: Final answer
    x = 116,017.72

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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.