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Finding the Fourth Proportional to 157,039.20, 216,717.66 and 85,423.05

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Solution

The fourth proportional to 157,039.20, 216,717.66 and 85,423.05 is: 117,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,039.20 : 216,717.66 = 85,423.05 : x
  2. Step 2: Convert to fraction form
    157,039.20/216,717.66 = 85,423.05/x
  3. Step 3: Cross multiply
    157,039.20x = 216,717.66 × 85,423.05
  4. Step 4: Simplify right side
    157,039.20x = 18,512,683,506.06
  5. Step 5: Solve for x
    x = 18,512,683,506.06/157,039.20
  6. Step 6: Final answer
    x = 117,885.75

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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.