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Finding the Fourth Proportional to 153,902.57, 230,926.95 and 106,590.47

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Solution

The fourth proportional to 153,902.57, 230,926.95 and 106,590.47 is: 159,936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.57 : 230,926.95 = 106,590.47 : x
  2. Step 2: Convert to fraction form
    153,902.57/230,926.95 = 106,590.47/x
  3. Step 3: Cross multiply
    153,902.57x = 230,926.95 × 106,590.47
  4. Step 4: Simplify right side
    153,902.57x = 24,614,610,981.53
  5. Step 5: Solve for x
    x = 24,614,610,981.53/153,902.57
  6. Step 6: Final answer
    x = 159,936.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.