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Finding the Fourth Proportional to 159,298.61, 219,832.14 and 87,678.12

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Solution

The fourth proportional to 159,298.61, 219,832.14 and 87,678.12 is: 120,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,298.61 : 219,832.14 = 87,678.12 : x
  2. Step 2: Convert to fraction form
    159,298.61/219,832.14 = 87,678.12/x
  3. Step 3: Cross multiply
    159,298.61x = 219,832.14 × 87,678.12
  4. Step 4: Simplify right side
    159,298.61x = 19,274,468,312.39
  5. Step 5: Solve for x
    x = 19,274,468,312.39/159,298.61
  6. Step 6: Final answer
    x = 120,995.83

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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.