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Finding the Fourth Proportional to 177,788.40, 266,682.60 and 158,434.80

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Solution

The fourth proportional to 177,788.40, 266,682.60 and 158,434.80 is: 237,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,788.40 : 266,682.60 = 158,434.80 : x
  2. Step 2: Convert to fraction form
    177,788.40/266,682.60 = 158,434.80/x
  3. Step 3: Cross multiply
    177,788.40x = 266,682.60 × 158,434.80
  4. Step 4: Simplify right side
    177,788.40x = 42,251,804,394.48
  5. Step 5: Solve for x
    x = 42,251,804,394.48/177,788.40
  6. Step 6: Final answer
    x = 237,652.20

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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.