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Finding the Fourth Proportional to 223,888.50, 309,228.57 and 148,305.78

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Solution

The fourth proportional to 223,888.50, 309,228.57 and 148,305.78 is: 204,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,888.50 : 309,228.57 = 148,305.78 : x
  2. Step 2: Convert to fraction form
    223,888.50/309,228.57 = 148,305.78/x
  3. Step 3: Cross multiply
    223,888.50x = 309,228.57 × 148,305.78
  4. Step 4: Simplify right side
    223,888.50x = 45,860,384,272.13
  5. Step 5: Solve for x
    x = 45,860,384,272.13/223,888.50
  6. Step 6: Final answer
    x = 204,835.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.