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Finding the Fourth Proportional to 207,564.32, 286,439.28 and 120,366.32

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Solution

The fourth proportional to 207,564.32, 286,439.28 and 120,366.32 is: 166,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,564.32 : 286,439.28 = 120,366.32 : x
  2. Step 2: Convert to fraction form
    207,564.32/286,439.28 = 120,366.32/x
  3. Step 3: Cross multiply
    207,564.32x = 286,439.28 × 120,366.32
  4. Step 4: Simplify right side
    207,564.32x = 34,477,642,037.05
  5. Step 5: Solve for x
    x = 34,477,642,037.05/207,564.32
  6. Step 6: Final answer
    x = 166,105.82

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