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Finding the Fourth Proportional to 129,995, 194,967.84 and 63,368.12

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Solution

The fourth proportional to 129,995, 194,967.84 and 63,368.12 is: 95,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,995 : 194,967.84 = 63,368.12 : x
  2. Step 2: Convert to fraction form
    129,995/194,967.84 = 63,368.12/x
  3. Step 3: Cross multiply
    129,995x = 194,967.84 × 63,368.12
  4. Step 4: Simplify right side
    129,995x = 12,354,745,481.26
  5. Step 5: Solve for x
    x = 12,354,745,481.26/129,995
  6. Step 6: Final answer
    x = 95,040.16

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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.