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Finding the Fourth Proportional to 131,137.40, 196,658.10 and 42,414.20

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Solution

The fourth proportional to 131,137.40, 196,658.10 and 42,414.20 is: 63,605.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,137.40 : 196,658.10 = 42,414.20 : x
  2. Step 2: Convert to fraction form
    131,137.40/196,658.10 = 42,414.20/x
  3. Step 3: Cross multiply
    131,137.40x = 196,658.10 × 42,414.20
  4. Step 4: Simplify right side
    131,137.40x = 8,341,095,985.02
  5. Step 5: Solve for x
    x = 8,341,095,985.02/131,137.40
  6. Step 6: Final answer
    x = 63,605.78

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