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Finding the Fourth Proportional to 203,147.65, 280,344.54 and 112,501.63

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Solution

The fourth proportional to 203,147.65, 280,344.54 and 112,501.63 is: 155,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,147.65 : 280,344.54 = 112,501.63 : x
  2. Step 2: Convert to fraction form
    203,147.65/280,344.54 = 112,501.63/x
  3. Step 3: Cross multiply
    203,147.65x = 280,344.54 × 112,501.63
  4. Step 4: Simplify right side
    203,147.65x = 31,539,217,711.60
  5. Step 5: Solve for x
    x = 31,539,217,711.60/203,147.65
  6. Step 6: Final answer
    x = 155,252.68

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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.