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Finding the Fourth Proportional to 153,725.93, 230,658.96 and 78,898.62

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Solution

The fourth proportional to 153,725.93, 230,658.96 and 78,898.62 is: 118,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,725.93 : 230,658.96 = 78,898.62 : x
  2. Step 2: Convert to fraction form
    153,725.93/230,658.96 = 78,898.62/x
  3. Step 3: Cross multiply
    153,725.93x = 230,658.96 × 78,898.62
  4. Step 4: Simplify right side
    153,725.93x = 18,198,673,240.14
  5. Step 5: Solve for x
    x = 18,198,673,240.14/153,725.93
  6. Step 6: Final answer
    x = 118,383.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.