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Finding the Fourth Proportional to 219,023.60, 328,470.60 and 85,827.20

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Solution

The fourth proportional to 219,023.60, 328,470.60 and 85,827.20 is: 128,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,023.60 : 328,470.60 = 85,827.20 : x
  2. Step 2: Convert to fraction form
    219,023.60/328,470.60 = 85,827.20/x
  3. Step 3: Cross multiply
    219,023.60x = 328,470.60 × 85,827.20
  4. Step 4: Simplify right side
    219,023.60x = 28,191,711,880.32
  5. Step 5: Solve for x
    x = 28,191,711,880.32/219,023.60
  6. Step 6: Final answer
    x = 128,715.41

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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.