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Finding the Fourth Proportional to 209,414.01, 314,135.80 and 59,666.48

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Solution

The fourth proportional to 209,414.01, 314,135.80 and 59,666.48 is: 89,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,414.01 : 314,135.80 = 59,666.48 : x
  2. Step 2: Convert to fraction form
    209,414.01/314,135.80 = 59,666.48/x
  3. Step 3: Cross multiply
    209,414.01x = 314,135.80 × 59,666.48
  4. Step 4: Simplify right side
    209,414.01x = 18,743,375,708.14
  5. Step 5: Solve for x
    x = 18,743,375,708.14/209,414.01
  6. Step 6: Final answer
    x = 89,503.92

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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.