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Finding the Fourth Proportional to 157,077.67, 235,477.05 and 57,219.25

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Solution

The fourth proportional to 157,077.67, 235,477.05 and 57,219.25 is: 85,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,077.67 : 235,477.05 = 57,219.25 : x
  2. Step 2: Convert to fraction form
    157,077.67/235,477.05 = 57,219.25/x
  3. Step 3: Cross multiply
    157,077.67x = 235,477.05 × 57,219.25
  4. Step 4: Simplify right side
    157,077.67x = 13,473,820,193.21
  5. Step 5: Solve for x
    x = 13,473,820,193.21/157,077.67
  6. Step 6: Final answer
    x = 85,778.08

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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.