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Finding the Fourth Proportional to 209,829.20, 314,743.80 and 201,664.40

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Solution

The fourth proportional to 209,829.20, 314,743.80 and 201,664.40 is: 302,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,829.20 : 314,743.80 = 201,664.40 : x
  2. Step 2: Convert to fraction form
    209,829.20/314,743.80 = 201,664.40/x
  3. Step 3: Cross multiply
    209,829.20x = 314,743.80 × 201,664.40
  4. Step 4: Simplify right side
    209,829.20x = 63,472,619,580.72
  5. Step 5: Solve for x
    x = 63,472,619,580.72/209,829.20
  6. Step 6: Final answer
    x = 302,496.60

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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.