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Finding the Fourth Proportional to 144,013.86, 216,043.34 and 117,295.55

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Solution

The fourth proportional to 144,013.86, 216,043.34 and 117,295.55 is: 175,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,013.86 : 216,043.34 = 117,295.55 : x
  2. Step 2: Convert to fraction form
    144,013.86/216,043.34 = 117,295.55/x
  3. Step 3: Cross multiply
    144,013.86x = 216,043.34 × 117,295.55
  4. Step 4: Simplify right side
    144,013.86x = 25,340,920,722.44
  5. Step 5: Solve for x
    x = 25,340,920,722.44/144,013.86
  6. Step 6: Final answer
    x = 175,961.68

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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.