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Finding the Fourth Proportional to 140,386.86, 193,675.84 and 102,062.38

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Solution

The fourth proportional to 140,386.86, 193,675.84 and 102,062.38 is: 140,803.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,386.86 : 193,675.84 = 102,062.38 : x
  2. Step 2: Convert to fraction form
    140,386.86/193,675.84 = 102,062.38/x
  3. Step 3: Cross multiply
    140,386.86x = 193,675.84 × 102,062.38
  4. Step 4: Simplify right side
    140,386.86x = 19,767,017,178.90
  5. Step 5: Solve for x
    x = 19,767,017,178.90/140,386.86
  6. Step 6: Final answer
    x = 140,803.90

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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.