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Finding the Fourth Proportional to 157,108.95, 216,809.31 and 85,489.23

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Solution

The fourth proportional to 157,108.95, 216,809.31 and 85,489.23 is: 117,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,108.95 : 216,809.31 = 85,489.23 : x
  2. Step 2: Convert to fraction form
    157,108.95/216,809.31 = 85,489.23/x
  3. Step 3: Cross multiply
    157,108.95x = 216,809.31 × 85,489.23
  4. Step 4: Simplify right side
    157,108.95x = 18,534,860,968.73
  5. Step 5: Solve for x
    x = 18,534,860,968.73/157,108.95
  6. Step 6: Final answer
    x = 117,974.57

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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.