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Finding the Fourth Proportional to 152,649.90, 229,023.36 and 68,482.44

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Solution

The fourth proportional to 152,649.90, 229,023.36 and 68,482.44 is: 102,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,649.90 : 229,023.36 = 68,482.44 : x
  2. Step 2: Convert to fraction form
    152,649.90/229,023.36 = 68,482.44/x
  3. Step 3: Cross multiply
    152,649.90x = 229,023.36 × 68,482.44
  4. Step 4: Simplify right side
    152,649.90x = 15,684,078,509.80
  5. Step 5: Solve for x
    x = 15,684,078,509.80/152,649.90
  6. Step 6: Final answer
    x = 102,745.42

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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.