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Finding the Fourth Proportional to 177,701.52, 266,322.64 and 132,977.40

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Solution

The fourth proportional to 177,701.52, 266,322.64 and 132,977.40 is: 199,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,701.52 : 266,322.64 = 132,977.40 : x
  2. Step 2: Convert to fraction form
    177,701.52/266,322.64 = 132,977.40/x
  3. Step 3: Cross multiply
    177,701.52x = 266,322.64 × 132,977.40
  4. Step 4: Simplify right side
    177,701.52x = 35,414,892,228.34
  5. Step 5: Solve for x
    x = 35,414,892,228.34/177,701.52
  6. Step 6: Final answer
    x = 199,294.26

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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.