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Finding the Fourth Proportional to 206,812.90, 310,219.35 and 135,954.10

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Solution

The fourth proportional to 206,812.90, 310,219.35 and 135,954.10 is: 203,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.90 : 310,219.35 = 135,954.10 : x
  2. Step 2: Convert to fraction form
    206,812.90/310,219.35 = 135,954.10/x
  3. Step 3: Cross multiply
    206,812.90x = 310,219.35 × 135,954.10
  4. Step 4: Simplify right side
    206,812.90x = 42,175,592,531.84
  5. Step 5: Solve for x
    x = 42,175,592,531.84/206,812.90
  6. Step 6: Final answer
    x = 203,931.15

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1.5x scale

Why These Related Problems?

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