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Finding the Fourth Proportional to 157,017.98, 216,685.84 and 85,398.53

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Solution

The fourth proportional to 157,017.98, 216,685.84 and 85,398.53 is: 117,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,017.98 : 216,685.84 = 85,398.53 : x
  2. Step 2: Convert to fraction form
    157,017.98/216,685.84 = 85,398.53/x
  3. Step 3: Cross multiply
    157,017.98x = 216,685.84 × 85,398.53
  4. Step 4: Simplify right side
    157,017.98x = 18,504,651,071.01
  5. Step 5: Solve for x
    x = 18,504,651,071.01/157,017.98
  6. Step 6: Final answer
    x = 117,850.52

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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.