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Finding the Fourth Proportional to 178,836.60, 268,157.70 and 73,666.20

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Solution

The fourth proportional to 178,836.60, 268,157.70 and 73,666.20 is: 110,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,836.60 : 268,157.70 = 73,666.20 : x
  2. Step 2: Convert to fraction form
    178,836.60/268,157.70 = 73,666.20/x
  3. Step 3: Cross multiply
    178,836.60x = 268,157.70 × 73,666.20
  4. Step 4: Simplify right side
    178,836.60x = 19,754,158,759.74
  5. Step 5: Solve for x
    x = 19,754,158,759.74/178,836.60
  6. Step 6: Final answer
    x = 110,459.26

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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.