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Finding the Fourth Proportional to 153,725.81, 230,658.77 and 78,898.49

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Solution

The fourth proportional to 153,725.81, 230,658.77 and 78,898.49 is: 118,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,725.81 : 230,658.77 = 78,898.49 : x
  2. Step 2: Convert to fraction form
    153,725.81/230,658.77 = 78,898.49/x
  3. Step 3: Cross multiply
    153,725.81x = 230,658.77 × 78,898.49
  4. Step 4: Simplify right side
    153,725.81x = 18,198,629,420.83
  5. Step 5: Solve for x
    x = 18,198,629,420.83/153,725.81
  6. Step 6: Final answer
    x = 118,383.70

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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.