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Finding the Fourth Proportional to 107,406, 148,222.64 and 59,008.56

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Solution

The fourth proportional to 107,406, 148,222.64 and 59,008.56 is: 81,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,406 : 148,222.64 = 59,008.56 : x
  2. Step 2: Convert to fraction form
    107,406/148,222.64 = 59,008.56/x
  3. Step 3: Cross multiply
    107,406x = 148,222.64 × 59,008.56
  4. Step 4: Simplify right side
    107,406x = 8,746,404,545.80
  5. Step 5: Solve for x
    x = 8,746,404,545.80/107,406
  6. Step 6: Final answer
    x = 81,433.11

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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.