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Finding the Fourth Proportional to 177,645.52, 266,336.52 and 107,508.16

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Solution

The fourth proportional to 177,645.52, 266,336.52 and 107,508.16 is: 161,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,645.52 : 266,336.52 = 107,508.16 : x
  2. Step 2: Convert to fraction form
    177,645.52/266,336.52 = 107,508.16/x
  3. Step 3: Cross multiply
    177,645.52x = 266,336.52 × 107,508.16
  4. Step 4: Simplify right side
    177,645.52x = 28,633,349,206.00
  5. Step 5: Solve for x
    x = 28,633,349,206.00/177,645.52
  6. Step 6: Final answer
    x = 161,182.50

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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.