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Finding the Fourth Proportional to 206,810.10, 310,215.15 and 101,834.10

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Solution

The fourth proportional to 206,810.10, 310,215.15 and 101,834.10 is: 152,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,810.10 : 310,215.15 = 101,834.10 : x
  2. Step 2: Convert to fraction form
    206,810.10/310,215.15 = 101,834.10/x
  3. Step 3: Cross multiply
    206,810.10x = 310,215.15 × 101,834.10
  4. Step 4: Simplify right side
    206,810.10x = 31,590,480,606.62
  5. Step 5: Solve for x
    x = 31,590,480,606.62/206,810.10
  6. Step 6: Final answer
    x = 152,751.15

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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.