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Finding the Fourth Proportional to 209,356.85, 314,027.95 and 59,597.97

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Solution

The fourth proportional to 209,356.85, 314,027.95 and 59,597.97 is: 89,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.85 : 314,027.95 = 59,597.97 : x
  2. Step 2: Convert to fraction form
    209,356.85/314,027.95 = 59,597.97/x
  3. Step 3: Cross multiply
    209,356.85x = 314,027.95 × 59,597.97
  4. Step 4: Simplify right side
    209,356.85x = 18,715,428,343.26
  5. Step 5: Solve for x
    x = 18,715,428,343.26/209,356.85
  6. Step 6: Final answer
    x = 89,394.87

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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.