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Finding the Fourth Proportional to 177,641.46, 266,503.77 and 121,508.01

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Solution

The fourth proportional to 177,641.46, 266,503.77 and 121,508.01 is: 182,290.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.46 : 266,503.77 = 121,508.01 : x
  2. Step 2: Convert to fraction form
    177,641.46/266,503.77 = 121,508.01/x
  3. Step 3: Cross multiply
    177,641.46x = 266,503.77 × 121,508.01
  4. Step 4: Simplify right side
    177,641.46x = 32,382,342,750.20
  5. Step 5: Solve for x
    x = 32,382,342,750.20/177,641.46
  6. Step 6: Final answer
    x = 182,290.46

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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.