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Finding the Fourth Proportional to 178,142.64, 245,834.35 and 101,685.97

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Solution

The fourth proportional to 178,142.64, 245,834.35 and 101,685.97 is: 140,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,142.64 : 245,834.35 = 101,685.97 : x
  2. Step 2: Convert to fraction form
    178,142.64/245,834.35 = 101,685.97/x
  3. Step 3: Cross multiply
    178,142.64x = 245,834.35 × 101,685.97
  4. Step 4: Simplify right side
    178,142.64x = 24,997,904,392.15
  5. Step 5: Solve for x
    x = 24,997,904,392.15/178,142.64
  6. Step 6: Final answer
    x = 140,325.22

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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.