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Finding the Fourth Proportional to 129,833.30, 194,859.30 and 51,004.10

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Solution

The fourth proportional to 129,833.30, 194,859.30 and 51,004.10 is: 76,549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833.30 : 194,859.30 = 51,004.10 : x
  2. Step 2: Convert to fraction form
    129,833.30/194,859.30 = 51,004.10/x
  3. Step 3: Cross multiply
    129,833.30x = 194,859.30 × 51,004.10
  4. Step 4: Simplify right side
    129,833.30x = 9,938,623,223.13
  5. Step 5: Solve for x
    x = 9,938,623,223.13/129,833.30
  6. Step 6: Final answer
    x = 76,549.11

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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.