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Finding the Fourth Proportional to 272,023.60, 408,035.40 and 146,052.40

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Solution

The fourth proportional to 272,023.60, 408,035.40 and 146,052.40 is: 219,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,023.60 : 408,035.40 = 146,052.40 : x
  2. Step 2: Convert to fraction form
    272,023.60/408,035.40 = 146,052.40/x
  3. Step 3: Cross multiply
    272,023.60x = 408,035.40 × 146,052.40
  4. Step 4: Simplify right side
    272,023.60x = 59,594,549,454.96
  5. Step 5: Solve for x
    x = 59,594,549,454.96/272,023.60
  6. Step 6: Final answer
    x = 219,078.60

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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.