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Finding the Fourth Proportional to 203,200.90, 280,417.26 and 112,562.74

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Solution

The fourth proportional to 203,200.90, 280,417.26 and 112,562.74 is: 155,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.90 : 280,417.26 = 112,562.74 : x
  2. Step 2: Convert to fraction form
    203,200.90/280,417.26 = 112,562.74/x
  3. Step 3: Cross multiply
    203,200.90x = 280,417.26 × 112,562.74
  4. Step 4: Simplify right side
    203,200.90x = 31,564,535,128.89
  5. Step 5: Solve for x
    x = 31,564,535,128.89/203,200.90
  6. Step 6: Final answer
    x = 155,336.59

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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.