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Finding the Fourth Proportional to 207,930.83, 286,946.26 and 114,799.56

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Solution

The fourth proportional to 207,930.83, 286,946.26 and 114,799.56 is: 158,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.83 : 286,946.26 = 114,799.56 : x
  2. Step 2: Convert to fraction form
    207,930.83/286,946.26 = 114,799.56/x
  3. Step 3: Cross multiply
    207,930.83x = 286,946.26 × 114,799.56
  4. Step 4: Simplify right side
    207,930.83x = 32,941,304,391.65
  5. Step 5: Solve for x
    x = 32,941,304,391.65/207,930.83
  6. Step 6: Final answer
    x = 158,424.34

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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.