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Finding the Fourth Proportional to 140,886.85, 194,443.79 and 87,189.16

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Solution

The fourth proportional to 140,886.85, 194,443.79 and 87,189.16 is: 120,333.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,886.85 : 194,443.79 = 87,189.16 : x
  2. Step 2: Convert to fraction form
    140,886.85/194,443.79 = 87,189.16/x
  3. Step 3: Cross multiply
    140,886.85x = 194,443.79 × 87,189.16
  4. Step 4: Simplify right side
    140,886.85x = 16,953,390,717.32
  5. Step 5: Solve for x
    x = 16,953,390,717.32/140,886.85
  6. Step 6: Final answer
    x = 120,333.38

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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.