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Finding the Fourth Proportional to 144,713.16, 199,773.57 and 101,729.51

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Solution

The fourth proportional to 144,713.16, 199,773.57 and 101,729.51 is: 140,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,713.16 : 199,773.57 = 101,729.51 : x
  2. Step 2: Convert to fraction form
    144,713.16/199,773.57 = 101,729.51/x
  3. Step 3: Cross multiply
    144,713.16x = 199,773.57 × 101,729.51
  4. Step 4: Simplify right side
    144,713.16x = 20,322,866,388.18
  5. Step 5: Solve for x
    x = 20,322,866,388.18/144,713.16
  6. Step 6: Final answer
    x = 140,435.51

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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.