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Finding the Fourth Proportional to 121,684, 182,560.56 and 38,580.16

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Solution

The fourth proportional to 121,684, 182,560.56 and 38,580.16 is: 57,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,684 : 182,560.56 = 38,580.16 : x
  2. Step 2: Convert to fraction form
    121,684/182,560.56 = 38,580.16/x
  3. Step 3: Cross multiply
    121,684x = 182,560.56 × 38,580.16
  4. Step 4: Simplify right side
    121,684x = 7,043,215,614.49
  5. Step 5: Solve for x
    x = 7,043,215,614.49/121,684
  6. Step 6: Final answer
    x = 57,881.20

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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.