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Finding the Fourth Proportional to 107,122.12, 147,828.14 and 59,375

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Solution

The fourth proportional to 107,122.12, 147,828.14 and 59,375 is: 81,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,122.12 : 147,828.14 = 59,375 : x
  2. Step 2: Convert to fraction form
    107,122.12/147,828.14 = 59,375/x
  3. Step 3: Cross multiply
    107,122.12x = 147,828.14 × 59,375
  4. Step 4: Simplify right side
    107,122.12x = 8,777,295,812.50
  5. Step 5: Solve for x
    x = 8,777,295,812.50/107,122.12
  6. Step 6: Final answer
    x = 81,937.29

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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.