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Finding the Fourth Proportional to 172,947.44, 238,631 and 105,000.14

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Solution

The fourth proportional to 172,947.44, 238,631 and 105,000.14 is: 144,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,947.44 : 238,631 = 105,000.14 : x
  2. Step 2: Convert to fraction form
    172,947.44/238,631 = 105,000.14/x
  3. Step 3: Cross multiply
    172,947.44x = 238,631 × 105,000.14
  4. Step 4: Simplify right side
    172,947.44x = 25,056,288,408.34
  5. Step 5: Solve for x
    x = 25,056,288,408.34/172,947.44
  6. Step 6: Final answer
    x = 144,878.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.