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Finding the Fourth Proportional to 138,751.56, 191,477.14 and 75,089.37

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Solution

The fourth proportional to 138,751.56, 191,477.14 and 75,089.37 is: 103,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.56 : 191,477.14 = 75,089.37 : x
  2. Step 2: Convert to fraction form
    138,751.56/191,477.14 = 75,089.37/x
  3. Step 3: Cross multiply
    138,751.56x = 191,477.14 × 75,089.37
  4. Step 4: Simplify right side
    138,751.56x = 14,377,897,812.00
  5. Step 5: Solve for x
    x = 14,377,897,812.00/138,751.56
  6. Step 6: Final answer
    x = 103,623.32

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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.