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Finding the Fourth Proportional to 142,885.49, 214,311.78 and 37,712.66

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Solution

The fourth proportional to 142,885.49, 214,311.78 and 37,712.66 is: 56,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,885.49 : 214,311.78 = 37,712.66 : x
  2. Step 2: Convert to fraction form
    142,885.49/214,311.78 = 37,712.66/x
  3. Step 3: Cross multiply
    142,885.49x = 214,311.78 × 37,712.66
  4. Step 4: Simplify right side
    142,885.49x = 8,082,267,293.13
  5. Step 5: Solve for x
    x = 8,082,267,293.13/142,885.49
  6. Step 6: Final answer
    x = 56,564.65

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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.