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Finding the Fourth Proportional to 157,069.92, 235,465.43 and 57,211.50

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Solution

The fourth proportional to 157,069.92, 235,465.43 and 57,211.50 is: 85,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,069.92 : 235,465.43 = 57,211.50 : x
  2. Step 2: Convert to fraction form
    157,069.92/235,465.43 = 57,211.50/x
  3. Step 3: Cross multiply
    157,069.92x = 235,465.43 × 57,211.50
  4. Step 4: Simplify right side
    157,069.92x = 13,471,330,162.39
  5. Step 5: Solve for x
    x = 13,471,330,162.39/157,069.92
  6. Step 6: Final answer
    x = 85,766.45

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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.