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Finding the Fourth Proportional to 161,402.32, 242,141.28 and 158,724.64

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Solution

The fourth proportional to 161,402.32, 242,141.28 and 158,724.64 is: 238,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,402.32 : 242,141.28 = 158,724.64 : x
  2. Step 2: Convert to fraction form
    161,402.32/242,141.28 = 158,724.64/x
  3. Step 3: Cross multiply
    161,402.32x = 242,141.28 × 158,724.64
  4. Step 4: Simplify right side
    161,402.32x = 38,433,787,497.14
  5. Step 5: Solve for x
    x = 38,433,787,497.14/161,402.32
  6. Step 6: Final answer
    x = 238,124.13

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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.