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Finding the Fourth Proportional to 159,265.98, 219,808.08 and 102,841.38

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Solution

The fourth proportional to 159,265.98, 219,808.08 and 102,841.38 is: 141,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,265.98 : 219,808.08 = 102,841.38 : x
  2. Step 2: Convert to fraction form
    159,265.98/219,808.08 = 102,841.38/x
  3. Step 3: Cross multiply
    159,265.98x = 219,808.08 × 102,841.38
  4. Step 4: Simplify right side
    159,265.98x = 22,605,366,282.35
  5. Step 5: Solve for x
    x = 22,605,366,282.35/159,265.98
  6. Step 6: Final answer
    x = 141,934.68

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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.