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Finding the Fourth Proportional to 273,539.31, 410,488.38 and 96,041.76

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Solution

The fourth proportional to 273,539.31, 410,488.38 and 96,041.76 is: 144,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,539.31 : 410,488.38 = 96,041.76 : x
  2. Step 2: Convert to fraction form
    273,539.31/410,488.38 = 96,041.76/x
  3. Step 3: Cross multiply
    273,539.31x = 410,488.38 × 96,041.76
  4. Step 4: Simplify right side
    273,539.31x = 39,424,026,474.75
  5. Step 5: Solve for x
    x = 39,424,026,474.75/273,539.31
  6. Step 6: Final answer
    x = 144,125.63

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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.