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Finding the Fourth Proportional to 109,427.80, 164,141.70 and 70,029.40

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Solution

The fourth proportional to 109,427.80, 164,141.70 and 70,029.40 is: 105,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,427.80 : 164,141.70 = 70,029.40 : x
  2. Step 2: Convert to fraction form
    109,427.80/164,141.70 = 70,029.40/x
  3. Step 3: Cross multiply
    109,427.80x = 164,141.70 × 70,029.40
  4. Step 4: Simplify right side
    109,427.80x = 11,494,744,765.98
  5. Step 5: Solve for x
    x = 11,494,744,765.98/109,427.80
  6. Step 6: Final answer
    x = 105,044.10

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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.