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Finding the Fourth Proportional to 194,966.70, 292,450.05 and 112,022.70

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Solution

The fourth proportional to 194,966.70, 292,450.05 and 112,022.70 is: 168,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,966.70 : 292,450.05 = 112,022.70 : x
  2. Step 2: Convert to fraction form
    194,966.70/292,450.05 = 112,022.70/x
  3. Step 3: Cross multiply
    194,966.70x = 292,450.05 × 112,022.70
  4. Step 4: Simplify right side
    194,966.70x = 32,761,044,216.14
  5. Step 5: Solve for x
    x = 32,761,044,216.14/194,966.70
  6. Step 6: Final answer
    x = 168,034.05

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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.