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Finding the Fourth Proportional to 121,416.64, 182,014.02 and 42,487.81

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Solution

The fourth proportional to 121,416.64, 182,014.02 and 42,487.81 is: 63,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,416.64 : 182,014.02 = 42,487.81 : x
  2. Step 2: Convert to fraction form
    121,416.64/182,014.02 = 42,487.81/x
  3. Step 3: Cross multiply
    121,416.64x = 182,014.02 × 42,487.81
  4. Step 4: Simplify right side
    121,416.64x = 7,733,377,099.10
  5. Step 5: Solve for x
    x = 7,733,377,099.10/121,416.64
  6. Step 6: Final answer
    x = 63,692.89

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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.