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Finding the Fourth Proportional to 208,722.60, 313,256.70 and 96,575.40

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Solution

The fourth proportional to 208,722.60, 313,256.70 and 96,575.40 is: 144,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,722.60 : 313,256.70 = 96,575.40 : x
  2. Step 2: Convert to fraction form
    208,722.60/313,256.70 = 96,575.40/x
  3. Step 3: Cross multiply
    208,722.60x = 313,256.70 × 96,575.40
  4. Step 4: Simplify right side
    208,722.60x = 30,252,891,105.18
  5. Step 5: Solve for x
    x = 30,252,891,105.18/208,722.60
  6. Step 6: Final answer
    x = 144,943.05

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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.