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Finding the Fourth Proportional to 107,306, 148,082.28 and 59,567.06

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Solution

The fourth proportional to 107,306, 148,082.28 and 59,567.06 is: 82,202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,306 : 148,082.28 = 59,567.06 : x
  2. Step 2: Convert to fraction form
    107,306/148,082.28 = 59,567.06/x
  3. Step 3: Cross multiply
    107,306x = 148,082.28 × 59,567.06
  4. Step 4: Simplify right side
    107,306x = 8,820,826,057.70
  5. Step 5: Solve for x
    x = 8,820,826,057.70/107,306
  6. Step 6: Final answer
    x = 82,202.54

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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.