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Finding the Fourth Proportional to 152,143.53, 209,941.92 and 84,149.70

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Solution

The fourth proportional to 152,143.53, 209,941.92 and 84,149.70 is: 116,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,143.53 : 209,941.92 = 84,149.70 : x
  2. Step 2: Convert to fraction form
    152,143.53/209,941.92 = 84,149.70/x
  3. Step 3: Cross multiply
    152,143.53x = 209,941.92 × 84,149.70
  4. Step 4: Simplify right side
    152,143.53x = 17,666,549,585.42
  5. Step 5: Solve for x
    x = 17,666,549,585.42/152,143.53
  6. Step 6: Final answer
    x = 116,117.65

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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.