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Finding the Fourth Proportional to 119,304.31, 178,947.16 and 69,352.55

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Solution

The fourth proportional to 119,304.31, 178,947.16 and 69,352.55 is: 104,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,304.31 : 178,947.16 = 69,352.55 : x
  2. Step 2: Convert to fraction form
    119,304.31/178,947.16 = 69,352.55/x
  3. Step 3: Cross multiply
    119,304.31x = 178,947.16 × 69,352.55
  4. Step 4: Simplify right side
    119,304.31x = 12,410,441,253.48
  5. Step 5: Solve for x
    x = 12,410,441,253.48/119,304.31
  6. Step 6: Final answer
    x = 104,023.41

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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.