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Finding the Fourth Proportional to 157,083.17, 235,485.30 and 57,224.75

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Solution

The fourth proportional to 157,083.17, 235,485.30 and 57,224.75 is: 85,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.17 : 235,485.30 = 57,224.75 : x
  2. Step 2: Convert to fraction form
    157,083.17/235,485.30 = 57,224.75/x
  3. Step 3: Cross multiply
    157,083.17x = 235,485.30 × 57,224.75
  4. Step 4: Simplify right side
    157,083.17x = 13,475,587,421.18
  5. Step 5: Solve for x
    x = 13,475,587,421.18/157,083.17
  6. Step 6: Final answer
    x = 85,786.32

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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.