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Finding the Fourth Proportional to 206,892.10, 310,411.05 and 199,602.10

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Solution

The fourth proportional to 206,892.10, 310,411.05 and 199,602.10 is: 299,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.10 : 310,411.05 = 199,602.10 : x
  2. Step 2: Convert to fraction form
    206,892.10/310,411.05 = 199,602.10/x
  3. Step 3: Cross multiply
    206,892.10x = 310,411.05 × 199,602.10
  4. Step 4: Simplify right side
    206,892.10x = 61,958,697,443.21
  5. Step 5: Solve for x
    x = 61,958,697,443.21/206,892.10
  6. Step 6: Final answer
    x = 299,473.48

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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.