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Finding the Fourth Proportional to 102,235.91, 153,355.91 and 27,355.93

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Solution

The fourth proportional to 102,235.91, 153,355.91 and 27,355.93 is: 41,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235.91 : 153,355.91 = 27,355.93 : x
  2. Step 2: Convert to fraction form
    102,235.91/153,355.91 = 27,355.93/x
  3. Step 3: Cross multiply
    102,235.91x = 153,355.91 × 27,355.93
  4. Step 4: Simplify right side
    102,235.91x = 4,195,193,593.96
  5. Step 5: Solve for x
    x = 4,195,193,593.96/102,235.91
  6. Step 6: Final answer
    x = 41,034.44

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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.