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Finding the Fourth Proportional to 129,935.70, 194,806.35 and 70,838.10

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Solution

The fourth proportional to 129,935.70, 194,806.35 and 70,838.10 is: 106,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,935.70 : 194,806.35 = 70,838.10 : x
  2. Step 2: Convert to fraction form
    129,935.70/194,806.35 = 70,838.10/x
  3. Step 3: Cross multiply
    129,935.70x = 194,806.35 × 70,838.10
  4. Step 4: Simplify right side
    129,935.70x = 13,799,711,701.94
  5. Step 5: Solve for x
    x = 13,799,711,701.94/129,935.70
  6. Step 6: Final answer
    x = 106,204.16

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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.