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Finding the Fourth Proportional to 102,024, 140,793.12 and 57,312

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Solution

The fourth proportional to 102,024, 140,793.12 and 57,312 is: 79,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024 : 140,793.12 = 57,312 : x
  2. Step 2: Convert to fraction form
    102,024/140,793.12 = 57,312/x
  3. Step 3: Cross multiply
    102,024x = 140,793.12 × 57,312
  4. Step 4: Simplify right side
    102,024x = 8,069,135,293.44
  5. Step 5: Solve for x
    x = 8,069,135,293.44/102,024
  6. Step 6: Final answer
    x = 79,090.56

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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.