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Finding the Fourth Proportional to 177,863.80, 266,795.70 and 72,758.20

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Solution

The fourth proportional to 177,863.80, 266,795.70 and 72,758.20 is: 109,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,863.80 : 266,795.70 = 72,758.20 : x
  2. Step 2: Convert to fraction form
    177,863.80/266,795.70 = 72,758.20/x
  3. Step 3: Cross multiply
    177,863.80x = 266,795.70 × 72,758.20
  4. Step 4: Simplify right side
    177,863.80x = 19,411,574,899.74
  5. Step 5: Solve for x
    x = 19,411,574,899.74/177,863.80
  6. Step 6: Final answer
    x = 109,137.30

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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.