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Finding the Fourth Proportional to 138,713.21, 191,424.23 and 75,051.01

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Solution

The fourth proportional to 138,713.21, 191,424.23 and 75,051.01 is: 103,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,713.21 : 191,424.23 = 75,051.01 : x
  2. Step 2: Convert to fraction form
    138,713.21/191,424.23 = 75,051.01/x
  3. Step 3: Cross multiply
    138,713.21x = 191,424.23 × 75,051.01
  4. Step 4: Simplify right side
    138,713.21x = 14,366,580,842.85
  5. Step 5: Solve for x
    x = 14,366,580,842.85/138,713.21
  6. Step 6: Final answer
    x = 103,570.39

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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.