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Finding the Fourth Proportional to 201,491.16, 278,040.66 and 116,613.48

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Solution

The fourth proportional to 201,491.16, 278,040.66 and 116,613.48 is: 160,916.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,491.16 : 278,040.66 = 116,613.48 : x
  2. Step 2: Convert to fraction form
    201,491.16/278,040.66 = 116,613.48/x
  3. Step 3: Cross multiply
    201,491.16x = 278,040.66 × 116,613.48
  4. Step 4: Simplify right side
    201,491.16x = 32,423,288,944.10
  5. Step 5: Solve for x
    x = 32,423,288,944.10/201,491.16
  6. Step 6: Final answer
    x = 160,916.68

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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.