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Finding the Fourth Proportional to 206,884.10, 310,326.15 and 101,908.10

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Solution

The fourth proportional to 206,884.10, 310,326.15 and 101,908.10 is: 152,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.10 : 310,326.15 = 101,908.10 : x
  2. Step 2: Convert to fraction form
    206,884.10/310,326.15 = 101,908.10/x
  3. Step 3: Cross multiply
    206,884.10x = 310,326.15 × 101,908.10
  4. Step 4: Simplify right side
    206,884.10x = 31,624,748,326.82
  5. Step 5: Solve for x
    x = 31,624,748,326.82/206,884.10
  6. Step 6: Final answer
    x = 152,862.15

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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.