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Finding the Fourth Proportional to 107,415.40, 161,123.10 and 82,839.40

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Solution

The fourth proportional to 107,415.40, 161,123.10 and 82,839.40 is: 124,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,415.40 : 161,123.10 = 82,839.40 : x
  2. Step 2: Convert to fraction form
    107,415.40/161,123.10 = 82,839.40/x
  3. Step 3: Cross multiply
    107,415.40x = 161,123.10 × 82,839.40
  4. Step 4: Simplify right side
    107,415.40x = 13,347,340,930.14
  5. Step 5: Solve for x
    x = 13,347,340,930.14/107,415.40
  6. Step 6: Final answer
    x = 124,259.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.