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Finding the Fourth Proportional to 157,299, 217,072.62 and 90,252.60

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Solution

The fourth proportional to 157,299, 217,072.62 and 90,252.60 is: 124,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,299 : 217,072.62 = 90,252.60 : x
  2. Step 2: Convert to fraction form
    157,299/217,072.62 = 90,252.60/x
  3. Step 3: Cross multiply
    157,299x = 217,072.62 × 90,252.60
  4. Step 4: Simplify right side
    157,299x = 19,591,368,343.81
  5. Step 5: Solve for x
    x = 19,591,368,343.81/157,299
  6. Step 6: Final answer
    x = 124,548.59

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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.