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Finding the Fourth Proportional to 140,898.48, 211,371.48 and 47,382

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Solution

The fourth proportional to 140,898.48, 211,371.48 and 47,382 is: 71,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,898.48 : 211,371.48 = 47,382 : x
  2. Step 2: Convert to fraction form
    140,898.48/211,371.48 = 47,382/x
  3. Step 3: Cross multiply
    140,898.48x = 211,371.48 × 47,382
  4. Step 4: Simplify right side
    140,898.48x = 10,015,203,465.36
  5. Step 5: Solve for x
    x = 10,015,203,465.36/140,898.48
  6. Step 6: Final answer
    x = 71,080.99

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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.