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Finding the Fourth Proportional to 160,214.40, 240,321.60 and 89,355.60

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Solution

The fourth proportional to 160,214.40, 240,321.60 and 89,355.60 is: 134,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,214.40 : 240,321.60 = 89,355.60 : x
  2. Step 2: Convert to fraction form
    160,214.40/240,321.60 = 89,355.60/x
  3. Step 3: Cross multiply
    160,214.40x = 240,321.60 × 89,355.60
  4. Step 4: Simplify right side
    160,214.40x = 21,474,080,760.96
  5. Step 5: Solve for x
    x = 21,474,080,760.96/160,214.40
  6. Step 6: Final answer
    x = 134,033.40

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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.