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Finding the Fourth Proportional to 152,105.34, 209,835.54 and 98,407.65

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Solution

The fourth proportional to 152,105.34, 209,835.54 and 98,407.65 is: 135,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,105.34 : 209,835.54 = 98,407.65 : x
  2. Step 2: Convert to fraction form
    152,105.34/209,835.54 = 98,407.65/x
  3. Step 3: Cross multiply
    152,105.34x = 209,835.54 × 98,407.65
  4. Step 4: Simplify right side
    152,105.34x = 20,649,422,377.88
  5. Step 5: Solve for x
    x = 20,649,422,377.88/152,105.34
  6. Step 6: Final answer
    x = 135,757.38

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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.