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Finding the Fourth Proportional to 102,267, 141,141.42 and 57,563.64

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Solution

The fourth proportional to 102,267, 141,141.42 and 57,563.64 is: 79,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267 : 141,141.42 = 57,563.64 : x
  2. Step 2: Convert to fraction form
    102,267/141,141.42 = 57,563.64/x
  3. Step 3: Cross multiply
    102,267x = 141,141.42 × 57,563.64
  4. Step 4: Simplify right side
    102,267x = 8,124,613,889.97
  5. Step 5: Solve for x
    x = 8,124,613,889.97/102,267
  6. Step 6: Final answer
    x = 79,445.12

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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.