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Finding the Fourth Proportional to 152,658.20, 228,983.70 and 41,850.20

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Solution

The fourth proportional to 152,658.20, 228,983.70 and 41,850.20 is: 62,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,658.20 : 228,983.70 = 41,850.20 : x
  2. Step 2: Convert to fraction form
    152,658.20/228,983.70 = 41,850.20/x
  3. Step 3: Cross multiply
    152,658.20x = 228,983.70 × 41,850.20
  4. Step 4: Simplify right side
    152,658.20x = 9,583,013,641.74
  5. Step 5: Solve for x
    x = 9,583,013,641.74/152,658.20
  6. Step 6: Final answer
    x = 62,774.31

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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.