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Finding the Fourth Proportional to 103,426.32, 142,728.84 and 58,106.22

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Solution

The fourth proportional to 103,426.32, 142,728.84 and 58,106.22 is: 80,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,426.32 : 142,728.84 = 58,106.22 : x
  2. Step 2: Convert to fraction form
    103,426.32/142,728.84 = 58,106.22/x
  3. Step 3: Cross multiply
    103,426.32x = 142,728.84 × 58,106.22
  4. Step 4: Simplify right side
    103,426.32x = 8,293,433,377.38
  5. Step 5: Solve for x
    x = 8,293,433,377.38/103,426.32
  6. Step 6: Final answer
    x = 80,186.87

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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.