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Finding the Fourth Proportional to 153,507.24, 230,327.64 and 53,739

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Solution

The fourth proportional to 153,507.24, 230,327.64 and 53,739 is: 80,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,507.24 : 230,327.64 = 53,739 : x
  2. Step 2: Convert to fraction form
    153,507.24/230,327.64 = 53,739/x
  3. Step 3: Cross multiply
    153,507.24x = 230,327.64 × 53,739
  4. Step 4: Simplify right side
    153,507.24x = 12,377,577,045.96
  5. Step 5: Solve for x
    x = 12,377,577,045.96/153,507.24
  6. Step 6: Final answer
    x = 80,631.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.