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Finding the Fourth Proportional to 187,168.32, 280,863 and 98,428.64

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Solution

The fourth proportional to 187,168.32, 280,863 and 98,428.64 is: 147,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,168.32 : 280,863 = 98,428.64 : x
  2. Step 2: Convert to fraction form
    187,168.32/280,863 = 98,428.64/x
  3. Step 3: Cross multiply
    187,168.32x = 280,863 × 98,428.64
  4. Step 4: Simplify right side
    187,168.32x = 27,644,961,712.01
  5. Step 5: Solve for x
    x = 27,644,961,712.01/187,168.32
  6. Step 6: Final answer
    x = 147,701.07

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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.