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Finding the Fourth Proportional to 232,706.24, 349,059.48 and 74,947.04

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Solution

The fourth proportional to 232,706.24, 349,059.48 and 74,947.04 is: 112,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,706.24 : 349,059.48 = 74,947.04 : x
  2. Step 2: Convert to fraction form
    232,706.24/349,059.48 = 74,947.04/x
  3. Step 3: Cross multiply
    232,706.24x = 349,059.48 × 74,947.04
  4. Step 4: Simplify right side
    232,706.24x = 26,160,974,809.94
  5. Step 5: Solve for x
    x = 26,160,974,809.94/232,706.24
  6. Step 6: Final answer
    x = 112,420.60

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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.