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Finding the Fourth Proportional to 194,940.78, 292,421.61 and 61,831.14

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Solution

The fourth proportional to 194,940.78, 292,421.61 and 61,831.14 is: 92,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,940.78 : 292,421.61 = 61,831.14 : x
  2. Step 2: Convert to fraction form
    194,940.78/292,421.61 = 61,831.14/x
  3. Step 3: Cross multiply
    194,940.78x = 292,421.61 × 61,831.14
  4. Step 4: Simplify right side
    194,940.78x = 18,080,761,506.94
  5. Step 5: Solve for x
    x = 18,080,761,506.94/194,940.78
  6. Step 6: Final answer
    x = 92,750.02

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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.