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Finding the Fourth Proportional to 140,384.86, 193,673.08 and 102,060.38

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Solution

The fourth proportional to 140,384.86, 193,673.08 and 102,060.38 is: 140,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,384.86 : 193,673.08 = 102,060.38 : x
  2. Step 2: Convert to fraction form
    140,384.86/193,673.08 = 102,060.38/x
  3. Step 3: Cross multiply
    140,384.86x = 193,673.08 × 102,060.38
  4. Step 4: Simplify right side
    140,384.86x = 19,766,348,140.57
  5. Step 5: Solve for x
    x = 19,766,348,140.57/140,384.86
  6. Step 6: Final answer
    x = 140,801.14

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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.