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Finding the Fourth Proportional to 157,016.49, 216,678.12 and 89,039.67

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Solution

The fourth proportional to 157,016.49, 216,678.12 and 89,039.67 is: 122,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,016.49 : 216,678.12 = 89,039.67 : x
  2. Step 2: Convert to fraction form
    157,016.49/216,678.12 = 89,039.67/x
  3. Step 3: Cross multiply
    157,016.49x = 216,678.12 × 89,039.67
  4. Step 4: Simplify right side
    157,016.49x = 19,292,948,301.02
  5. Step 5: Solve for x
    x = 19,292,948,301.02/157,016.49
  6. Step 6: Final answer
    x = 122,872.12

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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.