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Finding the Fourth Proportional to 278,312.38, 384,071.22 and 150,987.94

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Solution

The fourth proportional to 278,312.38, 384,071.22 and 150,987.94 is: 208,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312.38 : 384,071.22 = 150,987.94 : x
  2. Step 2: Convert to fraction form
    278,312.38/384,071.22 = 150,987.94/x
  3. Step 3: Cross multiply
    278,312.38x = 384,071.22 × 150,987.94
  4. Step 4: Simplify right side
    278,312.38x = 57,990,121,360.91
  5. Step 5: Solve for x
    x = 57,990,121,360.91/278,312.38
  6. Step 6: Final answer
    x = 208,363.43

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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.