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Finding the Fourth Proportional to 157,083.18, 216,777.51 and 85,463.70

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Solution

The fourth proportional to 157,083.18, 216,777.51 and 85,463.70 is: 117,941.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,083.18 : 216,777.51 = 85,463.70 : x
  2. Step 2: Convert to fraction form
    157,083.18/216,777.51 = 85,463.70/x
  3. Step 3: Cross multiply
    157,083.18x = 216,777.51 × 85,463.70
  4. Step 4: Simplify right side
    157,083.18x = 18,526,608,081.39
  5. Step 5: Solve for x
    x = 18,526,608,081.39/157,083.18
  6. Step 6: Final answer
    x = 117,941.39

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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.