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Finding the Fourth Proportional to 345,102.41, 517,778.17 and 120,495.93

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Solution

The fourth proportional to 345,102.41, 517,778.17 and 120,495.93 is: 180,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,102.41 : 517,778.17 = 120,495.93 : x
  2. Step 2: Convert to fraction form
    345,102.41/517,778.17 = 120,495.93/x
  3. Step 3: Cross multiply
    345,102.41x = 517,778.17 × 120,495.93
  4. Step 4: Simplify right side
    345,102.41x = 62,390,162,127.85
  5. Step 5: Solve for x
    x = 62,390,162,127.85/345,102.41
  6. Step 6: Final answer
    x = 180,787.38

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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.