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Finding the Fourth Proportional to 140,522.30, 210,880.65 and 101,107.70

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Solution

The fourth proportional to 140,522.30, 210,880.65 and 101,107.70 is: 151,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,522.30 : 210,880.65 = 101,107.70 : x
  2. Step 2: Convert to fraction form
    140,522.30/210,880.65 = 101,107.70/x
  3. Step 3: Cross multiply
    140,522.30x = 210,880.65 × 101,107.70
  4. Step 4: Simplify right side
    140,522.30x = 21,321,657,496.01
  5. Step 5: Solve for x
    x = 21,321,657,496.01/140,522.30
  6. Step 6: Final answer
    x = 151,731.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.