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Finding the Fourth Proportional to 140,877.32, 211,322.46 and 57,713

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Solution

The fourth proportional to 140,877.32, 211,322.46 and 57,713 is: 86,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,877.32 : 211,322.46 = 57,713 : x
  2. Step 2: Convert to fraction form
    140,877.32/211,322.46 = 57,713/x
  3. Step 3: Cross multiply
    140,877.32x = 211,322.46 × 57,713
  4. Step 4: Simplify right side
    140,877.32x = 12,196,053,133.98
  5. Step 5: Solve for x
    x = 12,196,053,133.98/140,877.32
  6. Step 6: Final answer
    x = 86,572.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.