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Finding the Fourth Proportional to 177,862.98, 266,794.92 and 72,681.95

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Solution

The fourth proportional to 177,862.98, 266,794.92 and 72,681.95 is: 109,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,862.98 : 266,794.92 = 72,681.95 : x
  2. Step 2: Convert to fraction form
    177,862.98/266,794.92 = 72,681.95/x
  3. Step 3: Cross multiply
    177,862.98x = 266,794.92 × 72,681.95
  4. Step 4: Simplify right side
    177,862.98x = 19,391,173,701.72
  5. Step 5: Solve for x
    x = 19,391,173,701.72/177,862.98
  6. Step 6: Final answer
    x = 109,023.10

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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.