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Finding the Fourth Proportional to 157,324.12, 217,104.76 and 85,705

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Solution

The fourth proportional to 157,324.12, 217,104.76 and 85,705 is: 118,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,324.12 : 217,104.76 = 85,705 : x
  2. Step 2: Convert to fraction form
    157,324.12/217,104.76 = 85,705/x
  3. Step 3: Cross multiply
    157,324.12x = 217,104.76 × 85,705
  4. Step 4: Simplify right side
    157,324.12x = 18,606,963,455.80
  5. Step 5: Solve for x
    x = 18,606,963,455.80/157,324.12
  6. Step 6: Final answer
    x = 118,271.52

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Why These Related Problems?

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