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Finding the Fourth Proportional to 177,868.80, 266,803.20 and 72,763.20

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Solution

The fourth proportional to 177,868.80, 266,803.20 and 72,763.20 is: 109,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,868.80 : 266,803.20 = 72,763.20 : x
  2. Step 2: Convert to fraction form
    177,868.80/266,803.20 = 72,763.20/x
  3. Step 3: Cross multiply
    177,868.80x = 266,803.20 × 72,763.20
  4. Step 4: Simplify right side
    177,868.80x = 19,413,454,602.24
  5. Step 5: Solve for x
    x = 19,413,454,602.24/177,868.80
  6. Step 6: Final answer
    x = 109,144.80

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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.