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Finding the Fourth Proportional to 107,857.62, 148,882.59 and 65,415.24

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Solution

The fourth proportional to 107,857.62, 148,882.59 and 65,415.24 is: 90,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,857.62 : 148,882.59 = 65,415.24 : x
  2. Step 2: Convert to fraction form
    107,857.62/148,882.59 = 65,415.24/x
  3. Step 3: Cross multiply
    107,857.62x = 148,882.59 × 65,415.24
  4. Step 4: Simplify right side
    107,857.62x = 9,739,190,356.67
  5. Step 5: Solve for x
    x = 9,739,190,356.67/107,857.62
  6. Step 6: Final answer
    x = 90,296.73

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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.