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Finding the Fourth Proportional to 135,128.08, 186,486.12 and 78,557.20

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Solution

The fourth proportional to 135,128.08, 186,486.12 and 78,557.20 is: 108,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,128.08 : 186,486.12 = 78,557.20 : x
  2. Step 2: Convert to fraction form
    135,128.08/186,486.12 = 78,557.20/x
  3. Step 3: Cross multiply
    135,128.08x = 186,486.12 × 78,557.20
  4. Step 4: Simplify right side
    135,128.08x = 14,649,827,426.06
  5. Step 5: Solve for x
    x = 14,649,827,426.06/135,128.08
  6. Step 6: Final answer
    x = 108,414.38

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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.