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Finding the Fourth Proportional to 178,323.78, 267,502.14 and 64,500.06

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Solution

The fourth proportional to 178,323.78, 267,502.14 and 64,500.06 is: 96,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,323.78 : 267,502.14 = 64,500.06 : x
  2. Step 2: Convert to fraction form
    178,323.78/267,502.14 = 64,500.06/x
  3. Step 3: Cross multiply
    178,323.78x = 267,502.14 × 64,500.06
  4. Step 4: Simplify right side
    178,323.78x = 17,253,904,080.13
  5. Step 5: Solve for x
    x = 17,253,904,080.13/178,323.78
  6. Step 6: Final answer
    x = 96,756.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.