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Finding the Fourth Proportional to 140,502.60, 193,893.16 and 75,971.38

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Solution

The fourth proportional to 140,502.60, 193,893.16 and 75,971.38 is: 104,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,502.60 : 193,893.16 = 75,971.38 : x
  2. Step 2: Convert to fraction form
    140,502.60/193,893.16 = 75,971.38/x
  3. Step 3: Cross multiply
    140,502.60x = 193,893.16 × 75,971.38
  4. Step 4: Simplify right side
    140,502.60x = 14,730,330,721.25
  5. Step 5: Solve for x
    x = 14,730,330,721.25/140,502.60
  6. Step 6: Final answer
    x = 104,840.27

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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.