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Finding the Fourth Proportional to 207,139.40, 310,709.10 and 82,416.20

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Solution

The fourth proportional to 207,139.40, 310,709.10 and 82,416.20 is: 123,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,139.40 : 310,709.10 = 82,416.20 : x
  2. Step 2: Convert to fraction form
    207,139.40/310,709.10 = 82,416.20/x
  3. Step 3: Cross multiply
    207,139.40x = 310,709.10 × 82,416.20
  4. Step 4: Simplify right side
    207,139.40x = 25,607,463,327.42
  5. Step 5: Solve for x
    x = 25,607,463,327.42/207,139.40
  6. Step 6: Final answer
    x = 123,624.30

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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.