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Finding the Fourth Proportional to 130,693.74, 196,066.14 and 41,940.42

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Solution

The fourth proportional to 130,693.74, 196,066.14 and 41,940.42 is: 62,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,693.74 : 196,066.14 = 41,940.42 : x
  2. Step 2: Convert to fraction form
    130,693.74/196,066.14 = 41,940.42/x
  3. Step 3: Cross multiply
    130,693.74x = 196,066.14 × 41,940.42
  4. Step 4: Simplify right side
    130,693.74x = 8,223,096,102.10
  5. Step 5: Solve for x
    x = 8,223,096,102.10/130,693.74
  6. Step 6: Final answer
    x = 62,918.82

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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.