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Finding the Fourth Proportional to 114,997.76, 172,495.20 and 40,117.76

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Solution

The fourth proportional to 114,997.76, 172,495.20 and 40,117.76 is: 60,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,997.76 : 172,495.20 = 40,117.76 : x
  2. Step 2: Convert to fraction form
    114,997.76/172,495.20 = 40,117.76/x
  3. Step 3: Cross multiply
    114,997.76x = 172,495.20 × 40,117.76
  4. Step 4: Simplify right side
    114,997.76x = 6,920,121,034.75
  5. Step 5: Solve for x
    x = 6,920,121,034.75/114,997.76
  6. Step 6: Final answer
    x = 60,176.14

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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.