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Finding the Fourth Proportional to 177,158.29, 265,737.45 and 71,977.30

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Solution

The fourth proportional to 177,158.29, 265,737.45 and 71,977.30 is: 107,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,158.29 : 265,737.45 = 71,977.30 : x
  2. Step 2: Convert to fraction form
    177,158.29/265,737.45 = 71,977.30/x
  3. Step 3: Cross multiply
    177,158.29x = 265,737.45 × 71,977.30
  4. Step 4: Simplify right side
    177,158.29x = 19,127,064,159.89
  5. Step 5: Solve for x
    x = 19,127,064,159.89/177,158.29
  6. Step 6: Final answer
    x = 107,965.96

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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.