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Finding the Fourth Proportional to 209,646.73, 314,519.28 and 59,889.16

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Solution

The fourth proportional to 209,646.73, 314,519.28 and 59,889.16 is: 89,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,646.73 : 314,519.28 = 59,889.16 : x
  2. Step 2: Convert to fraction form
    209,646.73/314,519.28 = 59,889.16/x
  3. Step 3: Cross multiply
    209,646.73x = 314,519.28 × 59,889.16
  4. Step 4: Simplify right side
    209,646.73x = 18,836,295,483.00
  5. Step 5: Solve for x
    x = 18,836,295,483.00/209,646.73
  6. Step 6: Final answer
    x = 89,847.79

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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.