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Finding the Fourth Proportional to 111,309.88, 153,630.81 and 102,343.18

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Solution

The fourth proportional to 111,309.88, 153,630.81 and 102,343.18 is: 141,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,309.88 : 153,630.81 = 102,343.18 : x
  2. Step 2: Convert to fraction form
    111,309.88/153,630.81 = 102,343.18/x
  3. Step 3: Cross multiply
    111,309.88x = 153,630.81 × 102,343.18
  4. Step 4: Simplify right side
    111,309.88x = 15,723,065,641.38
  5. Step 5: Solve for x
    x = 15,723,065,641.38/111,309.88
  6. Step 6: Final answer
    x = 141,254.90

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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.