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Finding the Fourth Proportional to 140,833.68, 210,940.92 and 133,069.92

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Solution

The fourth proportional to 140,833.68, 210,940.92 and 133,069.92 is: 199,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,833.68 : 210,940.92 = 133,069.92 : x
  2. Step 2: Convert to fraction form
    140,833.68/210,940.92 = 133,069.92/x
  3. Step 3: Cross multiply
    140,833.68x = 210,940.92 × 133,069.92
  4. Step 4: Simplify right side
    140,833.68x = 28,069,891,349.13
  5. Step 5: Solve for x
    x = 28,069,891,349.13/140,833.68
  6. Step 6: Final answer
    x = 199,312.35

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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.