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Finding the Fourth Proportional to 119,658.24, 165,101.76 and 68,667.84

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Solution

The fourth proportional to 119,658.24, 165,101.76 and 68,667.84 is: 94,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,658.24 : 165,101.76 = 68,667.84 : x
  2. Step 2: Convert to fraction form
    119,658.24/165,101.76 = 68,667.84/x
  3. Step 3: Cross multiply
    119,658.24x = 165,101.76 × 68,667.84
  4. Step 4: Simplify right side
    119,658.24x = 11,337,181,239.40
  5. Step 5: Solve for x
    x = 11,337,181,239.40/119,658.24
  6. Step 6: Final answer
    x = 94,746.35

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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.