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Finding the Fourth Proportional to 138,804.80, 191,549.75 and 75,142.13

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Solution

The fourth proportional to 138,804.80, 191,549.75 and 75,142.13 is: 103,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804.80 : 191,549.75 = 75,142.13 : x
  2. Step 2: Convert to fraction form
    138,804.80/191,549.75 = 75,142.13/x
  3. Step 3: Cross multiply
    138,804.80x = 191,549.75 × 75,142.13
  4. Step 4: Simplify right side
    138,804.80x = 14,393,454,882.51
  5. Step 5: Solve for x
    x = 14,393,454,882.51/138,804.80
  6. Step 6: Final answer
    x = 103,695.66

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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.