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Finding the Fourth Proportional to 140,513.76, 210,799.44 and 47,020.32

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Solution

The fourth proportional to 140,513.76, 210,799.44 and 47,020.32 is: 70,540.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,513.76 : 210,799.44 = 47,020.32 : x
  2. Step 2: Convert to fraction form
    140,513.76/210,799.44 = 47,020.32/x
  3. Step 3: Cross multiply
    140,513.76x = 210,799.44 × 47,020.32
  4. Step 4: Simplify right side
    140,513.76x = 9,911,857,124.62
  5. Step 5: Solve for x
    x = 9,911,857,124.62/140,513.76
  6. Step 6: Final answer
    x = 70,540.12

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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.