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Finding the Fourth Proportional to 177,863.80, 266,795.70 and 157,646.20

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Solution

The fourth proportional to 177,863.80, 266,795.70 and 157,646.20 is: 236,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,863.80 : 266,795.70 = 157,646.20 : x
  2. Step 2: Convert to fraction form
    177,863.80/266,795.70 = 157,646.20/x
  3. Step 3: Cross multiply
    177,863.80x = 266,795.70 × 157,646.20
  4. Step 4: Simplify right side
    177,863.80x = 42,059,328,281.34
  5. Step 5: Solve for x
    x = 42,059,328,281.34/177,863.80
  6. Step 6: Final answer
    x = 236,469.30

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1.5x scale

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.