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Finding the Fourth Proportional to 100,475.32, 138,657.28 and 55,157.72

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Solution

The fourth proportional to 100,475.32, 138,657.28 and 55,157.72 is: 76,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,475.32 : 138,657.28 = 55,157.72 : x
  2. Step 2: Convert to fraction form
    100,475.32/138,657.28 = 55,157.72/x
  3. Step 3: Cross multiply
    100,475.32x = 138,657.28 × 55,157.72
  4. Step 4: Simplify right side
    100,475.32x = 7,648,019,426.20
  5. Step 5: Solve for x
    x = 7,648,019,426.20/100,475.32
  6. Step 6: Final answer
    x = 76,118.39

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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.