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Finding the Fourth Proportional to 140,510.16, 193,911.12 and 83,182.38

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Solution

The fourth proportional to 140,510.16, 193,911.12 and 83,182.38 is: 114,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.16 : 193,911.12 = 83,182.38 : x
  2. Step 2: Convert to fraction form
    140,510.16/193,911.12 = 83,182.38/x
  3. Step 3: Cross multiply
    140,510.16x = 193,911.12 × 83,182.38
  4. Step 4: Simplify right side
    140,510.16x = 16,129,988,470.07
  5. Step 5: Solve for x
    x = 16,129,988,470.07/140,510.16
  6. Step 6: Final answer
    x = 114,795.89

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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.