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Finding the Fourth Proportional to 144,035.10, 216,052.65 and 140,147.10

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Solution

The fourth proportional to 144,035.10, 216,052.65 and 140,147.10 is: 210,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,035.10 : 216,052.65 = 140,147.10 : x
  2. Step 2: Convert to fraction form
    144,035.10/216,052.65 = 140,147.10/x
  3. Step 3: Cross multiply
    144,035.10x = 216,052.65 × 140,147.10
  4. Step 4: Simplify right side
    144,035.10x = 30,279,152,344.82
  5. Step 5: Solve for x
    x = 30,279,152,344.82/144,035.10
  6. Step 6: Final answer
    x = 210,220.65

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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.