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Finding the Fourth Proportional to 254,709.24, 382,041.84 and 86,225.96

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Solution

The fourth proportional to 254,709.24, 382,041.84 and 86,225.96 is: 129,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,709.24 : 382,041.84 = 86,225.96 : x
  2. Step 2: Convert to fraction form
    254,709.24/382,041.84 = 86,225.96/x
  3. Step 3: Cross multiply
    254,709.24x = 382,041.84 × 86,225.96
  4. Step 4: Simplify right side
    254,709.24x = 32,941,924,414.17
  5. Step 5: Solve for x
    x = 32,941,924,414.17/254,709.24
  6. Step 6: Final answer
    x = 129,331.49

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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.