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Finding the Fourth Proportional to 200,007.36, 299,966.56 and 57,821.58

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Solution

The fourth proportional to 200,007.36, 299,966.56 and 57,821.58 is: 86,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,007.36 : 299,966.56 = 57,821.58 : x
  2. Step 2: Convert to fraction form
    200,007.36/299,966.56 = 57,821.58/x
  3. Step 3: Cross multiply
    200,007.36x = 299,966.56 × 57,821.58
  4. Step 4: Simplify right side
    200,007.36x = 17,344,540,301.81
  5. Step 5: Solve for x
    x = 17,344,540,301.81/200,007.36
  6. Step 6: Final answer
    x = 86,719.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.