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Finding the Fourth Proportional to 177,423.80, 266,135.70 and 161,094.20

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Solution

The fourth proportional to 177,423.80, 266,135.70 and 161,094.20 is: 241,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,423.80 : 266,135.70 = 161,094.20 : x
  2. Step 2: Convert to fraction form
    177,423.80/266,135.70 = 161,094.20/x
  3. Step 3: Cross multiply
    177,423.80x = 266,135.70 × 161,094.20
  4. Step 4: Simplify right side
    177,423.80x = 42,872,917,682.94
  5. Step 5: Solve for x
    x = 42,872,917,682.94/177,423.80
  6. Step 6: Final answer
    x = 241,641.30

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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.