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Finding the Fourth Proportional to 207,798.45, 310,920.06 and 137,814.45

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Solution

The fourth proportional to 207,798.45, 310,920.06 and 137,814.45 is: 206,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,798.45 : 310,920.06 = 137,814.45 : x
  2. Step 2: Convert to fraction form
    207,798.45/310,920.06 = 137,814.45/x
  3. Step 3: Cross multiply
    207,798.45x = 310,920.06 × 137,814.45
  4. Step 4: Simplify right side
    207,798.45x = 42,849,277,062.87
  5. Step 5: Solve for x
    x = 42,849,277,062.87/207,798.45
  6. Step 6: Final answer
    x = 206,205.95

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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.