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Finding the Fourth Proportional to 138,864.98, 191,633.38 and 75,202.58

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Solution

The fourth proportional to 138,864.98, 191,633.38 and 75,202.58 is: 103,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,864.98 : 191,633.38 = 75,202.58 : x
  2. Step 2: Convert to fraction form
    138,864.98/191,633.38 = 75,202.58/x
  3. Step 3: Cross multiply
    138,864.98x = 191,633.38 × 75,202.58
  4. Step 4: Simplify right side
    138,864.98x = 14,411,324,590.12
  5. Step 5: Solve for x
    x = 14,411,324,590.12/138,864.98
  6. Step 6: Final answer
    x = 103,779.40

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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.