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Finding the Fourth Proportional to 138,804.96, 191,550.78 and 75,142.68

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Solution

The fourth proportional to 138,804.96, 191,550.78 and 75,142.68 is: 103,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804.96 : 191,550.78 = 75,142.68 : x
  2. Step 2: Convert to fraction form
    138,804.96/191,550.78 = 75,142.68/x
  3. Step 3: Cross multiply
    138,804.96x = 191,550.78 × 75,142.68
  4. Step 4: Simplify right side
    138,804.96x = 14,393,638,965.29
  5. Step 5: Solve for x
    x = 14,393,638,965.29/138,804.96
  6. Step 6: Final answer
    x = 103,696.86

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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.