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Finding the Fourth Proportional to 176,538.36, 264,724.10 and 64,140.18

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Solution

The fourth proportional to 176,538.36, 264,724.10 and 64,140.18 is: 96,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,538.36 : 264,724.10 = 64,140.18 : x
  2. Step 2: Convert to fraction form
    176,538.36/264,724.10 = 64,140.18/x
  3. Step 3: Cross multiply
    176,538.36x = 264,724.10 × 64,140.18
  4. Step 4: Simplify right side
    176,538.36x = 16,979,451,424.34
  5. Step 5: Solve for x
    x = 16,979,451,424.34/176,538.36
  6. Step 6: Final answer
    x = 96,179.95

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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.