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Finding the Fourth Proportional to 224,221.94, 309,251.32 and 143,657.01

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Solution

The fourth proportional to 224,221.94, 309,251.32 and 143,657.01 is: 198,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,221.94 : 309,251.32 = 143,657.01 : x
  2. Step 2: Convert to fraction form
    224,221.94/309,251.32 = 143,657.01/x
  3. Step 3: Cross multiply
    224,221.94x = 309,251.32 × 143,657.01
  4. Step 4: Simplify right side
    224,221.94x = 44,426,119,610.61
  5. Step 5: Solve for x
    x = 44,426,119,610.61/224,221.94
  6. Step 6: Final answer
    x = 198,134.58

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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.