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Finding the Fourth Proportional to 177,867.80, 266,801.70 and 72,762.20

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Solution

The fourth proportional to 177,867.80, 266,801.70 and 72,762.20 is: 109,143.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,867.80 : 266,801.70 = 72,762.20 : x
  2. Step 2: Convert to fraction form
    177,867.80/266,801.70 = 72,762.20/x
  3. Step 3: Cross multiply
    177,867.80x = 266,801.70 × 72,762.20
  4. Step 4: Simplify right side
    177,867.80x = 19,413,078,655.74
  5. Step 5: Solve for x
    x = 19,413,078,655.74/177,867.80
  6. Step 6: Final answer
    x = 109,143.30

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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.