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Finding the Fourth Proportional to 140,483.14, 210,724.92 and 57,377.14

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Solution

The fourth proportional to 140,483.14, 210,724.92 and 57,377.14 is: 86,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,483.14 : 210,724.92 = 57,377.14 : x
  2. Step 2: Convert to fraction form
    140,483.14/210,724.92 = 57,377.14/x
  3. Step 3: Cross multiply
    140,483.14x = 210,724.92 × 57,377.14
  4. Step 4: Simplify right side
    140,483.14x = 12,090,793,236.33
  5. Step 5: Solve for x
    x = 12,090,793,236.33/140,483.14
  6. Step 6: Final answer
    x = 86,065.80

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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.