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Finding the Fourth Proportional to 219,225.80, 328,838.70 and 159,447.80

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Solution

The fourth proportional to 219,225.80, 328,838.70 and 159,447.80 is: 239,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,225.80 : 328,838.70 = 159,447.80 : x
  2. Step 2: Convert to fraction form
    219,225.80/328,838.70 = 159,447.80/x
  3. Step 3: Cross multiply
    219,225.80x = 328,838.70 × 159,447.80
  4. Step 4: Simplify right side
    219,225.80x = 52,432,607,269.86
  5. Step 5: Solve for x
    x = 52,432,607,269.86/219,225.80
  6. Step 6: Final answer
    x = 239,171.70

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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.