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Finding the Fourth Proportional to 224,432.93, 309,437.30 and 143,727.77

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Solution

The fourth proportional to 224,432.93, 309,437.30 and 143,727.77 is: 198,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,432.93 : 309,437.30 = 143,727.77 : x
  2. Step 2: Convert to fraction form
    224,432.93/309,437.30 = 143,727.77/x
  3. Step 3: Cross multiply
    224,432.93x = 309,437.30 × 143,727.77
  4. Step 4: Simplify right side
    224,432.93x = 44,474,733,083.82
  5. Step 5: Solve for x
    x = 44,474,733,083.82/224,432.93
  6. Step 6: Final answer
    x = 198,164.92

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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.