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Finding the Fourth Proportional to 209,684.50, 314,264.27 and 165,135.31

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Solution

The fourth proportional to 209,684.50, 314,264.27 and 165,135.31 is: 247,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,684.50 : 314,264.27 = 165,135.31 : x
  2. Step 2: Convert to fraction form
    209,684.50/314,264.27 = 165,135.31/x
  3. Step 3: Cross multiply
    209,684.50x = 314,264.27 × 165,135.31
  4. Step 4: Simplify right side
    209,684.50x = 51,896,127,275.55
  5. Step 5: Solve for x
    x = 51,896,127,275.55/209,684.50
  6. Step 6: Final answer
    x = 247,496.25

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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.