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Finding the Fourth Proportional to 137,108.40, 205,586.16 and 42,311.70

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Solution

The fourth proportional to 137,108.40, 205,586.16 and 42,311.70 is: 63,443.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,108.40 : 205,586.16 = 42,311.70 : x
  2. Step 2: Convert to fraction form
    137,108.40/205,586.16 = 42,311.70/x
  3. Step 3: Cross multiply
    137,108.40x = 205,586.16 × 42,311.70
  4. Step 4: Simplify right side
    137,108.40x = 8,698,699,926.07
  5. Step 5: Solve for x
    x = 8,698,699,926.07/137,108.40
  6. Step 6: Final answer
    x = 63,443.96

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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.