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Finding the Fourth Proportional to 161,096, 222,312.48 and 90,440

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Solution

The fourth proportional to 161,096, 222,312.48 and 90,440 is: 124,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,096 : 222,312.48 = 90,440 : x
  2. Step 2: Convert to fraction form
    161,096/222,312.48 = 90,440/x
  3. Step 3: Cross multiply
    161,096x = 222,312.48 × 90,440
  4. Step 4: Simplify right side
    161,096x = 20,105,940,691.20
  5. Step 5: Solve for x
    x = 20,105,940,691.20/161,096
  6. Step 6: Final answer
    x = 124,807.20

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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.