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Finding the Fourth Proportional to 140,070.72, 193,294.38 and 76,410.78

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Solution

The fourth proportional to 140,070.72, 193,294.38 and 76,410.78 is: 105,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,070.72 : 193,294.38 = 76,410.78 : x
  2. Step 2: Convert to fraction form
    140,070.72/193,294.38 = 76,410.78/x
  3. Step 3: Cross multiply
    140,070.72x = 193,294.38 × 76,410.78
  4. Step 4: Simplify right side
    140,070.72x = 14,769,774,345.42
  5. Step 5: Solve for x
    x = 14,769,774,345.42/140,070.72
  6. Step 6: Final answer
    x = 105,445.12

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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.