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Finding the Fourth Proportional to 130,832.96, 180,573.12 and 77,114.88

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Solution

The fourth proportional to 130,832.96, 180,573.12 and 77,114.88 is: 106,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,832.96 : 180,573.12 = 77,114.88 : x
  2. Step 2: Convert to fraction form
    130,832.96/180,573.12 = 77,114.88/x
  3. Step 3: Cross multiply
    130,832.96x = 180,573.12 × 77,114.88
  4. Step 4: Simplify right side
    130,832.96x = 13,924,874,480.03
  5. Step 5: Solve for x
    x = 13,924,874,480.03/130,832.96
  6. Step 6: Final answer
    x = 106,432.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.