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Finding the Fourth Proportional to 140,388.10, 210,593.19 and 46,894.18

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Solution

The fourth proportional to 140,388.10, 210,593.19 and 46,894.18 is: 70,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,388.10 : 210,593.19 = 46,894.18 : x
  2. Step 2: Convert to fraction form
    140,388.10/210,593.19 = 46,894.18/x
  3. Step 3: Cross multiply
    140,388.10x = 210,593.19 × 46,894.18
  4. Step 4: Simplify right side
    140,388.10x = 9,875,594,958.63
  5. Step 5: Solve for x
    x = 9,875,594,958.63/140,388.10
  6. Step 6: Final answer
    x = 70,344.96

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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.