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Finding the Fourth Proportional to 138,035.58, 190,488.15 and 78,419.58

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Solution

The fourth proportional to 138,035.58, 190,488.15 and 78,419.58 is: 108,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,035.58 : 190,488.15 = 78,419.58 : x
  2. Step 2: Convert to fraction form
    138,035.58/190,488.15 = 78,419.58/x
  3. Step 3: Cross multiply
    138,035.58x = 190,488.15 × 78,419.58
  4. Step 4: Simplify right side
    138,035.58x = 14,938,000,717.98
  5. Step 5: Solve for x
    x = 14,938,000,717.98/138,035.58
  6. Step 6: Final answer
    x = 108,218.48

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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.