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Finding the Fourth Proportional to 115,953.38, 160,047.15 and 68,222.10

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Solution

The fourth proportional to 115,953.38, 160,047.15 and 68,222.10 is: 94,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953.38 : 160,047.15 = 68,222.10 : x
  2. Step 2: Convert to fraction form
    115,953.38/160,047.15 = 68,222.10/x
  3. Step 3: Cross multiply
    115,953.38x = 160,047.15 × 68,222.10
  4. Step 4: Simplify right side
    115,953.38x = 10,918,752,672.02
  5. Step 5: Solve for x
    x = 10,918,752,672.02/115,953.38
  6. Step 6: Final answer
    x = 94,165.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.