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Finding the Fourth Proportional to 138,763.83, 191,494.09 and 75,101.63

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Solution

The fourth proportional to 138,763.83, 191,494.09 and 75,101.63 is: 103,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763.83 : 191,494.09 = 75,101.63 : x
  2. Step 2: Convert to fraction form
    138,763.83/191,494.09 = 75,101.63/x
  3. Step 3: Cross multiply
    138,763.83x = 191,494.09 × 75,101.63
  4. Step 4: Simplify right side
    138,763.83x = 14,381,518,191.09
  5. Step 5: Solve for x
    x = 14,381,518,191.09/138,763.83
  6. Step 6: Final answer
    x = 103,640.25

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1.5x scale

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.