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Finding the Fourth Proportional to 203,465.40, 280,784.33 and 112,822.76

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Solution

The fourth proportional to 203,465.40, 280,784.33 and 112,822.76 is: 155,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,465.40 : 280,784.33 = 112,822.76 : x
  2. Step 2: Convert to fraction form
    203,465.40/280,784.33 = 112,822.76/x
  3. Step 3: Cross multiply
    203,465.40x = 280,784.33 × 112,822.76
  4. Step 4: Simplify right side
    203,465.40x = 31,678,861,107.32
  5. Step 5: Solve for x
    x = 31,678,861,107.32/203,465.40
  6. Step 6: Final answer
    x = 155,696.55

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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.