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Finding the Fourth Proportional to 199,602.57, 299,313.60 and 57,415.17

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Solution

The fourth proportional to 199,602.57, 299,313.60 and 57,415.17 is: 86,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,602.57 : 299,313.60 = 57,415.17 : x
  2. Step 2: Convert to fraction form
    199,602.57/299,313.60 = 57,415.17/x
  3. Step 3: Cross multiply
    199,602.57x = 299,313.60 × 57,415.17
  4. Step 4: Simplify right side
    199,602.57x = 17,185,141,227.31
  5. Step 5: Solve for x
    x = 17,185,141,227.31/199,602.57
  6. Step 6: Final answer
    x = 86,096.79

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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.