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Finding the Fourth Proportional to 117,206.70, 175,814.92 and 34,100.70

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Solution

The fourth proportional to 117,206.70, 175,814.92 and 34,100.70 is: 51,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,206.70 : 175,814.92 = 34,100.70 : x
  2. Step 2: Convert to fraction form
    117,206.70/175,814.92 = 34,100.70/x
  3. Step 3: Cross multiply
    117,206.70x = 175,814.92 × 34,100.70
  4. Step 4: Simplify right side
    117,206.70x = 5,995,411,842.44
  5. Step 5: Solve for x
    x = 5,995,411,842.44/117,206.70
  6. Step 6: Final answer
    x = 51,152.47

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1.5x scale

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.