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Finding the Fourth Proportional to 101,903.28, 140,695.12 and 77,987.28

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Solution

The fourth proportional to 101,903.28, 140,695.12 and 77,987.28 is: 107,674.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,903.28 : 140,695.12 = 77,987.28 : x
  2. Step 2: Convert to fraction form
    101,903.28/140,695.12 = 77,987.28/x
  3. Step 3: Cross multiply
    101,903.28x = 140,695.12 × 77,987.28
  4. Step 4: Simplify right side
    101,903.28x = 10,972,429,718.07
  5. Step 5: Solve for x
    x = 10,972,429,718.07/101,903.28
  6. Step 6: Final answer
    x = 107,674.94

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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.