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Finding the Fourth Proportional to 176,314.60, 264,731.10 and 123,956.20

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Solution

The fourth proportional to 176,314.60, 264,731.10 and 123,956.20 is: 186,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,314.60 : 264,731.10 = 123,956.20 : x
  2. Step 2: Convert to fraction form
    176,314.60/264,731.10 = 123,956.20/x
  3. Step 3: Cross multiply
    176,314.60x = 264,731.10 × 123,956.20
  4. Step 4: Simplify right side
    176,314.60x = 32,815,061,177.82
  5. Step 5: Solve for x
    x = 32,815,061,177.82/176,314.60
  6. Step 6: Final answer
    x = 186,116.53

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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.