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Finding the Fourth Proportional to 112,343.91, 154,770.89 and 78,290.49

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Solution

The fourth proportional to 112,343.91, 154,770.89 and 78,290.49 is: 107,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,343.91 : 154,770.89 = 78,290.49 : x
  2. Step 2: Convert to fraction form
    112,343.91/154,770.89 = 78,290.49/x
  3. Step 3: Cross multiply
    112,343.91x = 154,770.89 × 78,290.49
  4. Step 4: Simplify right side
    112,343.91x = 12,117,088,424.38
  5. Step 5: Solve for x
    x = 12,117,088,424.38/112,343.91
  6. Step 6: Final answer
    x = 107,857.10

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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.