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Finding the Fourth Proportional to 157,433.14, 217,251.07 and 85,811.46

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Solution

The fourth proportional to 157,433.14, 217,251.07 and 85,811.46 is: 118,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,433.14 : 217,251.07 = 85,811.46 : x
  2. Step 2: Convert to fraction form
    157,433.14/217,251.07 = 85,811.46/x
  3. Step 3: Cross multiply
    157,433.14x = 217,251.07 × 85,811.46
  4. Step 4: Simplify right side
    157,433.14x = 18,642,631,503.26
  5. Step 5: Solve for x
    x = 18,642,631,503.26/157,433.14
  6. Step 6: Final answer
    x = 118,416.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.