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Finding the Fourth Proportional to 280,235.20, 386,733.11 and 159,393.87

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Solution

The fourth proportional to 280,235.20, 386,733.11 and 159,393.87 is: 219,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,235.20 : 386,733.11 = 159,393.87 : x
  2. Step 2: Convert to fraction form
    280,235.20/386,733.11 = 159,393.87/x
  3. Step 3: Cross multiply
    280,235.20x = 386,733.11 × 159,393.87
  4. Step 4: Simplify right side
    280,235.20x = 61,642,887,060.04
  5. Step 5: Solve for x
    x = 61,642,887,060.04/280,235.20
  6. Step 6: Final answer
    x = 219,968.39

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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.