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Finding the Fourth Proportional to 107,416.38, 148,234.50 and 59,674.20

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Solution

The fourth proportional to 107,416.38, 148,234.50 and 59,674.20 is: 82,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,416.38 : 148,234.50 = 59,674.20 : x
  2. Step 2: Convert to fraction form
    107,416.38/148,234.50 = 59,674.20/x
  3. Step 3: Cross multiply
    107,416.38x = 148,234.50 × 59,674.20
  4. Step 4: Simplify right side
    107,416.38x = 8,845,775,199.90
  5. Step 5: Solve for x
    x = 8,845,775,199.90/107,416.38
  6. Step 6: Final answer
    x = 82,350.34

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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.