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Finding the Fourth Proportional to 137,118.96, 205,386.84 and 80,898.48

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Solution

The fourth proportional to 137,118.96, 205,386.84 and 80,898.48 is: 121,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,118.96 : 205,386.84 = 80,898.48 : x
  2. Step 2: Convert to fraction form
    137,118.96/205,386.84 = 80,898.48/x
  3. Step 3: Cross multiply
    137,118.96x = 205,386.84 × 80,898.48
  4. Step 4: Simplify right side
    137,118.96x = 16,615,483,168.00
  5. Step 5: Solve for x
    x = 16,615,483,168.00/137,118.96
  6. Step 6: Final answer
    x = 121,175.68

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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.