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Finding the Fourth Proportional to 107,493.16, 161,259.14 and 44,278.78

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Solution

The fourth proportional to 107,493.16, 161,259.14 and 44,278.78 is: 66,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,493.16 : 161,259.14 = 44,278.78 : x
  2. Step 2: Convert to fraction form
    107,493.16/161,259.14 = 44,278.78/x
  3. Step 3: Cross multiply
    107,493.16x = 161,259.14 × 44,278.78
  4. Step 4: Simplify right side
    107,493.16x = 7,140,356,955.36
  5. Step 5: Solve for x
    x = 7,140,356,955.36/107,493.16
  6. Step 6: Final answer
    x = 66,426.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.