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Finding the Fourth Proportional to 207,859.29, 286,846.25 and 112,365.98

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Solution

The fourth proportional to 207,859.29, 286,846.25 and 112,365.98 is: 155,065.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,859.29 : 286,846.25 = 112,365.98 : x
  2. Step 2: Convert to fraction form
    207,859.29/286,846.25 = 112,365.98/x
  3. Step 3: Cross multiply
    207,859.29x = 286,846.25 × 112,365.98
  4. Step 4: Simplify right side
    207,859.29x = 32,231,759,990.58
  5. Step 5: Solve for x
    x = 32,231,759,990.58/207,859.29
  6. Step 6: Final answer
    x = 155,065.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.