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Finding the Fourth Proportional to 150,849, 226,302.62 and 57,347.46

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Solution

The fourth proportional to 150,849, 226,302.62 and 57,347.46 is: 86,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,849 : 226,302.62 = 57,347.46 : x
  2. Step 2: Convert to fraction form
    150,849/226,302.62 = 57,347.46/x
  3. Step 3: Cross multiply
    150,849x = 226,302.62 × 57,347.46
  4. Step 4: Simplify right side
    150,849x = 12,977,880,161.61
  5. Step 5: Solve for x
    x = 12,977,880,161.61/150,849
  6. Step 6: Final answer
    x = 86,032.26

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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.