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Finding the Fourth Proportional to 118,101.31, 177,098.64 and 33,842.17

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Solution

The fourth proportional to 118,101.31, 177,098.64 and 33,842.17 is: 50,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,101.31 : 177,098.64 = 33,842.17 : x
  2. Step 2: Convert to fraction form
    118,101.31/177,098.64 = 33,842.17/x
  3. Step 3: Cross multiply
    118,101.31x = 177,098.64 × 33,842.17
  4. Step 4: Simplify right side
    118,101.31x = 5,993,402,281.65
  5. Step 5: Solve for x
    x = 5,993,402,281.65/118,101.31
  6. Step 6: Final answer
    x = 50,747.97

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1.5x scale

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.