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Finding the Fourth Proportional to 207,619.68, 286,216.56 and 147,900

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Solution

The fourth proportional to 207,619.68, 286,216.56 and 147,900 is: 203,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,619.68 : 286,216.56 = 147,900 : x
  2. Step 2: Convert to fraction form
    207,619.68/286,216.56 = 147,900/x
  3. Step 3: Cross multiply
    207,619.68x = 286,216.56 × 147,900
  4. Step 4: Simplify right side
    207,619.68x = 42,331,429,224
  5. Step 5: Solve for x
    x = 42,331,429,224/207,619.68
  6. Step 6: Final answer
    x = 203,889.29

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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.