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Finding the Fourth Proportional to 213,184.88, 319,472.20 and 156,581

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Solution

The fourth proportional to 213,184.88, 319,472.20 and 156,581 is: 234,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,184.88 : 319,472.20 = 156,581 : x
  2. Step 2: Convert to fraction form
    213,184.88/319,472.20 = 156,581/x
  3. Step 3: Cross multiply
    213,184.88x = 319,472.20 × 156,581
  4. Step 4: Simplify right side
    213,184.88x = 50,023,276,548.20
  5. Step 5: Solve for x
    x = 50,023,276,548.20/213,184.88
  6. Step 6: Final answer
    x = 234,647.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.