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Finding the Fourth Proportional to 207,809.36, 286,776.24 and 112,315.76

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Solution

The fourth proportional to 207,809.36, 286,776.24 and 112,315.76 is: 154,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,809.36 : 286,776.24 = 112,315.76 : x
  2. Step 2: Convert to fraction form
    207,809.36/286,776.24 = 112,315.76/x
  3. Step 3: Cross multiply
    207,809.36x = 286,776.24 × 112,315.76
  4. Step 4: Simplify right side
    207,809.36x = 32,209,491,345.54
  5. Step 5: Solve for x
    x = 32,209,491,345.54/207,809.36
  6. Step 6: Final answer
    x = 154,995.38

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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.