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Finding the Fourth Proportional to 129,807, 194,710.50 and 36,312.75

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Solution

The fourth proportional to 129,807, 194,710.50 and 36,312.75 is: 54,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,807 : 194,710.50 = 36,312.75 : x
  2. Step 2: Convert to fraction form
    129,807/194,710.50 = 36,312.75/x
  3. Step 3: Cross multiply
    129,807x = 194,710.50 × 36,312.75
  4. Step 4: Simplify right side
    129,807x = 7,070,473,708.88
  5. Step 5: Solve for x
    x = 7,070,473,708.88/129,807
  6. Step 6: Final answer
    x = 54,469.13

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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.