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Finding the Fourth Proportional to 226,815.06, 313,000.20 and 141,978.90

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Solution

The fourth proportional to 226,815.06, 313,000.20 and 141,978.90 is: 195,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,815.06 : 313,000.20 = 141,978.90 : x
  2. Step 2: Convert to fraction form
    226,815.06/313,000.20 = 141,978.90/x
  3. Step 3: Cross multiply
    226,815.06x = 313,000.20 × 141,978.90
  4. Step 4: Simplify right side
    226,815.06x = 44,439,424,095.78
  5. Step 5: Solve for x
    x = 44,439,424,095.78/226,815.06
  6. Step 6: Final answer
    x = 195,928.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.