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Finding the Fourth Proportional to 141,098.81, 211,696.83 and 120,197.16

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Solution

The fourth proportional to 141,098.81, 211,696.83 and 120,197.16 is: 180,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,098.81 : 211,696.83 = 120,197.16 : x
  2. Step 2: Convert to fraction form
    141,098.81/211,696.83 = 120,197.16/x
  3. Step 3: Cross multiply
    141,098.81x = 211,696.83 × 120,197.16
  4. Step 4: Simplify right side
    141,098.81x = 25,445,357,747.00
  5. Step 5: Solve for x
    x = 25,445,357,747.00/141,098.81
  6. Step 6: Final answer
    x = 180,337.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.