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Finding the Fourth Proportional to 209,915.80, 314,873.70 and 201,167.80

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Solution

The fourth proportional to 209,915.80, 314,873.70 and 201,167.80 is: 301,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,915.80 : 314,873.70 = 201,167.80 : x
  2. Step 2: Convert to fraction form
    209,915.80/314,873.70 = 201,167.80/x
  3. Step 3: Cross multiply
    209,915.80x = 314,873.70 × 201,167.80
  4. Step 4: Simplify right side
    209,915.80x = 63,342,449,506.86
  5. Step 5: Solve for x
    x = 63,342,449,506.86/209,915.80
  6. Step 6: Final answer
    x = 301,751.70

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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.