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Finding the Fourth Proportional to 201,023.32, 277,453.20 and 116,128.84

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Solution

The fourth proportional to 201,023.32, 277,453.20 and 116,128.84 is: 160,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,023.32 : 277,453.20 = 116,128.84 : x
  2. Step 2: Convert to fraction form
    201,023.32/277,453.20 = 116,128.84/x
  3. Step 3: Cross multiply
    201,023.32x = 277,453.20 × 116,128.84
  4. Step 4: Simplify right side
    201,023.32x = 32,220,318,270.29
  5. Step 5: Solve for x
    x = 32,220,318,270.29/201,023.32
  6. Step 6: Final answer
    x = 160,281.50

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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.