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Finding the Fourth Proportional to 107,467.20, 161,200.80 and 106,430.40

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Solution

The fourth proportional to 107,467.20, 161,200.80 and 106,430.40 is: 159,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,467.20 : 161,200.80 = 106,430.40 : x
  2. Step 2: Convert to fraction form
    107,467.20/161,200.80 = 106,430.40/x
  3. Step 3: Cross multiply
    107,467.20x = 161,200.80 × 106,430.40
  4. Step 4: Simplify right side
    107,467.20x = 17,156,665,624.32
  5. Step 5: Solve for x
    x = 17,156,665,624.32/107,467.20
  6. Step 6: Final answer
    x = 159,645.60

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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.