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Finding the Fourth Proportional to 129,797.40, 194,681.70 and 36,312.60

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Solution

The fourth proportional to 129,797.40, 194,681.70 and 36,312.60 is: 54,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,797.40 : 194,681.70 = 36,312.60 : x
  2. Step 2: Convert to fraction form
    129,797.40/194,681.70 = 36,312.60/x
  3. Step 3: Cross multiply
    129,797.40x = 194,681.70 × 36,312.60
  4. Step 4: Simplify right side
    129,797.40x = 7,069,398,699.42
  5. Step 5: Solve for x
    x = 7,069,398,699.42/129,797.40
  6. Step 6: Final answer
    x = 54,464.87

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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.