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Finding the Fourth Proportional to 155,749.81, 214,934.81 and 84,129.83

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Solution

The fourth proportional to 155,749.81, 214,934.81 and 84,129.83 is: 116,099.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,749.81 : 214,934.81 = 84,129.83 : x
  2. Step 2: Convert to fraction form
    155,749.81/214,934.81 = 84,129.83/x
  3. Step 3: Cross multiply
    155,749.81x = 214,934.81 × 84,129.83
  4. Step 4: Simplify right side
    155,749.81x = 18,082,429,026.38
  5. Step 5: Solve for x
    x = 18,082,429,026.38/155,749.81
  6. Step 6: Final answer
    x = 116,099.20

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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.