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Finding the Fourth Proportional to 145,830.30, 218,745.45 and 110,400.90

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Solution

The fourth proportional to 145,830.30, 218,745.45 and 110,400.90 is: 165,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.30 : 218,745.45 = 110,400.90 : x
  2. Step 2: Convert to fraction form
    145,830.30/218,745.45 = 110,400.90/x
  3. Step 3: Cross multiply
    145,830.30x = 218,745.45 × 110,400.90
  4. Step 4: Simplify right side
    145,830.30x = 24,149,694,550.91
  5. Step 5: Solve for x
    x = 24,149,694,550.91/145,830.30
  6. Step 6: Final answer
    x = 165,601.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.