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Finding the Fourth Proportional to 119,758.34, 165,215.58 and 87,871.88

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Solution

The fourth proportional to 119,758.34, 165,215.58 and 87,871.88 is: 121,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,758.34 : 165,215.58 = 87,871.88 : x
  2. Step 2: Convert to fraction form
    119,758.34/165,215.58 = 87,871.88/x
  3. Step 3: Cross multiply
    119,758.34x = 165,215.58 × 87,871.88
  4. Step 4: Simplify right side
    119,758.34x = 14,517,803,619.89
  5. Step 5: Solve for x
    x = 14,517,803,619.89/119,758.34
  6. Step 6: Final answer
    x = 121,225.83

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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.