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Finding the Fourth Proportional to 107,147.98, 147,873 and 59,416.84

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Solution

The fourth proportional to 107,147.98, 147,873 and 59,416.84 is: 82,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,147.98 : 147,873 = 59,416.84 : x
  2. Step 2: Convert to fraction form
    107,147.98/147,873 = 59,416.84/x
  3. Step 3: Cross multiply
    107,147.98x = 147,873 × 59,416.84
  4. Step 4: Simplify right side
    107,147.98x = 8,786,146,381.32
  5. Step 5: Solve for x
    x = 8,786,146,381.32/107,147.98
  6. Step 6: Final answer
    x = 82,000.11

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1.5x scale

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.