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Finding the Fourth Proportional to 137,814.81, 190,202.04 and 84,088.42

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Solution

The fourth proportional to 137,814.81, 190,202.04 and 84,088.42 is: 116,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,814.81 : 190,202.04 = 84,088.42 : x
  2. Step 2: Convert to fraction form
    137,814.81/190,202.04 = 84,088.42/x
  3. Step 3: Cross multiply
    137,814.81x = 190,202.04 × 84,088.42
  4. Step 4: Simplify right side
    137,814.81x = 15,993,789,024.38
  5. Step 5: Solve for x
    x = 15,993,789,024.38/137,814.81
  6. Step 6: Final answer
    x = 116,052.76

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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.