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Finding the Fourth Proportional to 138,810.60, 191,557.44 and 75,147.84

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Solution

The fourth proportional to 138,810.60, 191,557.44 and 75,147.84 is: 103,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,810.60 : 191,557.44 = 75,147.84 : x
  2. Step 2: Convert to fraction form
    138,810.60/191,557.44 = 75,147.84/x
  3. Step 3: Cross multiply
    138,810.60x = 191,557.44 × 75,147.84
  4. Step 4: Simplify right side
    138,810.60x = 14,395,127,851.93
  5. Step 5: Solve for x
    x = 14,395,127,851.93/138,810.60
  6. Step 6: Final answer
    x = 103,703.38

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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.