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Finding the Fourth Proportional to 157,911.09, 217,916.03 and 86,289.81

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Solution

The fourth proportional to 157,911.09, 217,916.03 and 86,289.81 is: 119,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,911.09 : 217,916.03 = 86,289.81 : x
  2. Step 2: Convert to fraction form
    157,911.09/217,916.03 = 86,289.81/x
  3. Step 3: Cross multiply
    157,911.09x = 217,916.03 × 86,289.81
  4. Step 4: Simplify right side
    157,911.09x = 18,803,933,040.38
  5. Step 5: Solve for x
    x = 18,803,933,040.38/157,911.09
  6. Step 6: Final answer
    x = 119,079.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.