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Finding the Fourth Proportional to 137,802.60, 206,243.10 and 96,330.60

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Solution

The fourth proportional to 137,802.60, 206,243.10 and 96,330.60 is: 144,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,802.60 : 206,243.10 = 96,330.60 : x
  2. Step 2: Convert to fraction form
    137,802.60/206,243.10 = 96,330.60/x
  3. Step 3: Cross multiply
    137,802.60x = 206,243.10 × 96,330.60
  4. Step 4: Simplify right side
    137,802.60x = 19,867,521,568.86
  5. Step 5: Solve for x
    x = 19,867,521,568.86/137,802.60
  6. Step 6: Final answer
    x = 144,173.78

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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.