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Finding the Fourth Proportional to 176,538.28, 264,724.18 and 64,139.24

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Solution

The fourth proportional to 176,538.28, 264,724.18 and 64,139.24 is: 96,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.28 : 264,724.18 = 64,139.24 : x
  2. Step 2: Convert to fraction form
    176,538.28/264,724.18 = 64,139.24/x
  3. Step 3: Cross multiply
    176,538.28x = 264,724.18 × 64,139.24
  4. Step 4: Simplify right side
    176,538.28x = 16,979,207,714.82
  5. Step 5: Solve for x
    x = 16,979,207,714.82/176,538.28
  6. Step 6: Final answer
    x = 96,178.62

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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.