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Finding the Fourth Proportional to 209,587.50, 314,388.54 and 69,342.48

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Solution

The fourth proportional to 209,587.50, 314,388.54 and 69,342.48 is: 104,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,587.50 : 314,388.54 = 69,342.48 : x
  2. Step 2: Convert to fraction form
    209,587.50/314,388.54 = 69,342.48/x
  3. Step 3: Cross multiply
    209,587.50x = 314,388.54 × 69,342.48
  4. Step 4: Simplify right side
    209,587.50x = 21,800,481,047.18
  5. Step 5: Solve for x
    x = 21,800,481,047.18/209,587.50
  6. Step 6: Final answer
    x = 104,016.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.