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Finding the Fourth Proportional to 151,702.64, 227,369.16 and 107,342

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Solution

The fourth proportional to 151,702.64, 227,369.16 and 107,342 is: 160,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,702.64 : 227,369.16 = 107,342 : x
  2. Step 2: Convert to fraction form
    151,702.64/227,369.16 = 107,342/x
  3. Step 3: Cross multiply
    151,702.64x = 227,369.16 × 107,342
  4. Step 4: Simplify right side
    151,702.64x = 24,406,260,372.72
  5. Step 5: Solve for x
    x = 24,406,260,372.72/151,702.64
  6. Step 6: Final answer
    x = 160,882.24

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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.