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Finding the Fourth Proportional to 278,290.32, 384,041.38 and 150,965.91

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Solution

The fourth proportional to 278,290.32, 384,041.38 and 150,965.91 is: 208,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,290.32 : 384,041.38 = 150,965.91 : x
  2. Step 2: Convert to fraction form
    278,290.32/384,041.38 = 150,965.91/x
  3. Step 3: Cross multiply
    278,290.32x = 384,041.38 × 150,965.91
  4. Step 4: Simplify right side
    278,290.32x = 57,977,157,472.10
  5. Step 5: Solve for x
    x = 57,977,157,472.10/278,290.32
  6. Step 6: Final answer
    x = 208,333.36

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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.