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Finding the Fourth Proportional to 140,900.16, 211,217.94 and 47,340.48

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Solution

The fourth proportional to 140,900.16, 211,217.94 and 47,340.48 is: 70,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,900.16 : 211,217.94 = 47,340.48 : x
  2. Step 2: Convert to fraction form
    140,900.16/211,217.94 = 47,340.48/x
  3. Step 3: Cross multiply
    140,900.16x = 211,217.94 × 47,340.48
  4. Step 4: Simplify right side
    140,900.16x = 9,999,158,664.21
  5. Step 5: Solve for x
    x = 9,999,158,664.21/140,900.16
  6. Step 6: Final answer
    x = 70,966.27

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Why These Related Problems?

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