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Finding the Fourth Proportional to 208,644.60, 313,139.70 and 96,497.40

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Solution

The fourth proportional to 208,644.60, 313,139.70 and 96,497.40 is: 144,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,644.60 : 313,139.70 = 96,497.40 : x
  2. Step 2: Convert to fraction form
    208,644.60/313,139.70 = 96,497.40/x
  3. Step 3: Cross multiply
    208,644.60x = 313,139.70 × 96,497.40
  4. Step 4: Simplify right side
    208,644.60x = 30,217,166,886.78
  5. Step 5: Solve for x
    x = 30,217,166,886.78/208,644.60
  6. Step 6: Final answer
    x = 144,826.02

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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.