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Finding the Fourth Proportional to 231,340.32, 319,215.69 and 135,877.77

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Solution

The fourth proportional to 231,340.32, 319,215.69 and 135,877.77 is: 187,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,340.32 : 319,215.69 = 135,877.77 : x
  2. Step 2: Convert to fraction form
    231,340.32/319,215.69 = 135,877.77/x
  3. Step 3: Cross multiply
    231,340.32x = 319,215.69 × 135,877.77
  4. Step 4: Simplify right side
    231,340.32x = 43,374,316,106.21
  5. Step 5: Solve for x
    x = 43,374,316,106.21/231,340.32
  6. Step 6: Final answer
    x = 187,491.38

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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.