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Finding the Fourth Proportional to 129,681.72, 194,522.58 and 67,221

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Solution

The fourth proportional to 129,681.72, 194,522.58 and 67,221 is: 100,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,681.72 : 194,522.58 = 67,221 : x
  2. Step 2: Convert to fraction form
    129,681.72/194,522.58 = 67,221/x
  3. Step 3: Cross multiply
    129,681.72x = 194,522.58 × 67,221
  4. Step 4: Simplify right side
    129,681.72x = 13,076,002,350.18
  5. Step 5: Solve for x
    x = 13,076,002,350.18/129,681.72
  6. Step 6: Final answer
    x = 100,831.50

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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.