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Finding the Fourth Proportional to 209,073.98, 314,014.44 and 179,155.82

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Solution

The fourth proportional to 209,073.98, 314,014.44 and 179,155.82 is: 269,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,073.98 : 314,014.44 = 179,155.82 : x
  2. Step 2: Convert to fraction form
    209,073.98/314,014.44 = 179,155.82/x
  3. Step 3: Cross multiply
    209,073.98x = 314,014.44 × 179,155.82
  4. Step 4: Simplify right side
    209,073.98x = 56,257,514,490.04
  5. Step 5: Solve for x
    x = 56,257,514,490.04/209,073.98
  6. Step 6: Final answer
    x = 269,079.46

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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.