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Finding the Fourth Proportional to 107,364.60, 161,046.90 and 106,380.45

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Solution

The fourth proportional to 107,364.60, 161,046.90 and 106,380.45 is: 159,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,364.60 : 161,046.90 = 106,380.45 : x
  2. Step 2: Convert to fraction form
    107,364.60/161,046.90 = 106,380.45/x
  3. Step 3: Cross multiply
    107,364.60x = 161,046.90 × 106,380.45
  4. Step 4: Simplify right side
    107,364.60x = 17,132,241,693.11
  5. Step 5: Solve for x
    x = 17,132,241,693.11/107,364.60
  6. Step 6: Final answer
    x = 159,570.68

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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.