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Finding the Fourth Proportional to 157,018.26, 216,678.96 and 85,398.24

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Solution

The fourth proportional to 157,018.26, 216,678.96 and 85,398.24 is: 117,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,018.26 : 216,678.96 = 85,398.24 : x
  2. Step 2: Convert to fraction form
    157,018.26/216,678.96 = 85,398.24/x
  3. Step 3: Cross multiply
    157,018.26x = 216,678.96 × 85,398.24
  4. Step 4: Simplify right side
    157,018.26x = 18,504,001,829.03
  5. Step 5: Solve for x
    x = 18,504,001,829.03/157,018.26
  6. Step 6: Final answer
    x = 117,846.18

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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.