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Finding the Fourth Proportional to 152,034.52, 209,806.14 and 84,966.52

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Solution

The fourth proportional to 152,034.52, 209,806.14 and 84,966.52 is: 117,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,034.52 : 209,806.14 = 84,966.52 : x
  2. Step 2: Convert to fraction form
    152,034.52/209,806.14 = 84,966.52/x
  3. Step 3: Cross multiply
    152,034.52x = 209,806.14 × 84,966.52
  4. Step 4: Simplify right side
    152,034.52x = 17,826,497,590.43
  5. Step 5: Solve for x
    x = 17,826,497,590.43/152,034.52
  6. Step 6: Final answer
    x = 117,252.96

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Why These Related Problems?

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