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Finding the Fourth Proportional to 408,045.90, 612,068.85 and 141,833.33

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Solution

The fourth proportional to 408,045.90, 612,068.85 and 141,833.33 is: 212,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.90 : 612,068.85 = 141,833.33 : x
  2. Step 2: Convert to fraction form
    408,045.90/612,068.85 = 141,833.33/x
  3. Step 3: Cross multiply
    408,045.90x = 612,068.85 × 141,833.33
  4. Step 4: Simplify right side
    408,045.90x = 86,811,760,124.43
  5. Step 5: Solve for x
    x = 86,811,760,124.43/408,045.90
  6. Step 6: Final answer
    x = 212,749.99

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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.