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Finding the Fourth Proportional to 261,082.64, 360,293.16 and 147,926.96

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Solution

The fourth proportional to 261,082.64, 360,293.16 and 147,926.96 is: 204,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,082.64 : 360,293.16 = 147,926.96 : x
  2. Step 2: Convert to fraction form
    261,082.64/360,293.16 = 147,926.96/x
  3. Step 3: Cross multiply
    261,082.64x = 360,293.16 × 147,926.96
  4. Step 4: Simplify right side
    261,082.64x = 53,297,071,867.59
  5. Step 5: Solve for x
    x = 53,297,071,867.59/261,082.64
  6. Step 6: Final answer
    x = 204,138.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.