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Finding the Fourth Proportional to 203,116.24, 280,292.70 and 112,465

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Solution

The fourth proportional to 203,116.24, 280,292.70 and 112,465 is: 155,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,116.24 : 280,292.70 = 112,465 : x
  2. Step 2: Convert to fraction form
    203,116.24/280,292.70 = 112,465/x
  3. Step 3: Cross multiply
    203,116.24x = 280,292.70 × 112,465
  4. Step 4: Simplify right side
    203,116.24x = 31,523,118,505.50
  5. Step 5: Solve for x
    x = 31,523,118,505.50/203,116.24
  6. Step 6: Final answer
    x = 155,197.43

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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.