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Finding the Fourth Proportional to 207,859.92, 286,845.60 and 112,365.76

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Solution

The fourth proportional to 207,859.92, 286,845.60 and 112,365.76 is: 155,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,859.92 : 286,845.60 = 112,365.76 : x
  2. Step 2: Convert to fraction form
    207,859.92/286,845.60 = 112,365.76/x
  3. Step 3: Cross multiply
    207,859.92x = 286,845.60 × 112,365.76
  4. Step 4: Simplify right side
    207,859.92x = 32,231,623,846.66
  5. Step 5: Solve for x
    x = 32,231,623,846.66/207,859.92
  6. Step 6: Final answer
    x = 155,064.16

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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.