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Finding the Fourth Proportional to 107,218.56, 147,958.08 and 59,472

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Solution

The fourth proportional to 107,218.56, 147,958.08 and 59,472 is: 82,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,218.56 : 147,958.08 = 59,472 : x
  2. Step 2: Convert to fraction form
    107,218.56/147,958.08 = 59,472/x
  3. Step 3: Cross multiply
    107,218.56x = 147,958.08 × 59,472
  4. Step 4: Simplify right side
    107,218.56x = 8,799,362,933.76
  5. Step 5: Solve for x
    x = 8,799,362,933.76/107,218.56
  6. Step 6: Final answer
    x = 82,069.40

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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.