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Finding the Fourth Proportional to 157,116.24, 216,816.88 and 85,496.44

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Solution

The fourth proportional to 157,116.24, 216,816.88 and 85,496.44 is: 117,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,116.24 : 216,816.88 = 85,496.44 : x
  2. Step 2: Convert to fraction form
    157,116.24/216,816.88 = 85,496.44/x
  3. Step 3: Cross multiply
    157,116.24x = 216,816.88 × 85,496.44
  4. Step 4: Simplify right side
    157,116.24x = 18,537,071,371.91
  5. Step 5: Solve for x
    x = 18,537,071,371.91/157,116.24
  6. Step 6: Final answer
    x = 117,983.17

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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.