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Finding the Fourth Proportional to 140,564.30, 210,943.65 and 101,149.70

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Solution

The fourth proportional to 140,564.30, 210,943.65 and 101,149.70 is: 151,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,564.30 : 210,943.65 = 101,149.70 : x
  2. Step 2: Convert to fraction form
    140,564.30/210,943.65 = 101,149.70/x
  3. Step 3: Cross multiply
    140,564.30x = 210,943.65 × 101,149.70
  4. Step 4: Simplify right side
    140,564.30x = 21,336,886,914.41
  5. Step 5: Solve for x
    x = 21,336,886,914.41/140,564.30
  6. Step 6: Final answer
    x = 151,794.49

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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.