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Finding the Fourth Proportional to 254,058.57, 381,088.01 and 85,564.82

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Solution

The fourth proportional to 254,058.57, 381,088.01 and 85,564.82 is: 128,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,058.57 : 381,088.01 = 85,564.82 : x
  2. Step 2: Convert to fraction form
    254,058.57/381,088.01 = 85,564.82/x
  3. Step 3: Cross multiply
    254,058.57x = 381,088.01 × 85,564.82
  4. Step 4: Simplify right side
    254,058.57x = 32,607,728,146.44
  5. Step 5: Solve for x
    x = 32,607,728,146.44/254,058.57
  6. Step 6: Final answer
    x = 128,347.29

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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.