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Finding the Fourth Proportional to 250,209, 345,288.42 and 137,035.80

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Solution

The fourth proportional to 250,209, 345,288.42 and 137,035.80 is: 189,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,209 : 345,288.42 = 137,035.80 : x
  2. Step 2: Convert to fraction form
    250,209/345,288.42 = 137,035.80/x
  3. Step 3: Cross multiply
    250,209x = 345,288.42 × 137,035.80
  4. Step 4: Simplify right side
    250,209x = 47,316,874,865.44
  5. Step 5: Solve for x
    x = 47,316,874,865.44/250,209
  6. Step 6: Final answer
    x = 189,109.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.