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Finding the Fourth Proportional to 129,803.40, 194,570.70 and 70,513.80

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Solution

The fourth proportional to 129,803.40, 194,570.70 and 70,513.80 is: 105,697.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,803.40 : 194,570.70 = 70,513.80 : x
  2. Step 2: Convert to fraction form
    129,803.40/194,570.70 = 70,513.80/x
  3. Step 3: Cross multiply
    129,803.40x = 194,570.70 × 70,513.80
  4. Step 4: Simplify right side
    129,803.40x = 13,719,919,425.66
  5. Step 5: Solve for x
    x = 13,719,919,425.66/129,803.40
  6. Step 6: Final answer
    x = 105,697.69

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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.