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Finding the Fourth Proportional to 299,083.92, 448,758.09 and 156,895.26

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Solution

The fourth proportional to 299,083.92, 448,758.09 and 156,895.26 is: 235,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,083.92 : 448,758.09 = 156,895.26 : x
  2. Step 2: Convert to fraction form
    299,083.92/448,758.09 = 156,895.26/x
  3. Step 3: Cross multiply
    299,083.92x = 448,758.09 × 156,895.26
  4. Step 4: Simplify right side
    299,083.92x = 70,408,017,207.65
  5. Step 5: Solve for x
    x = 70,408,017,207.65/299,083.92
  6. Step 6: Final answer
    x = 235,412.25

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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.