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Finding the Fourth Proportional to 102,214.58, 153,311.09 and 27,342.29

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Solution

The fourth proportional to 102,214.58, 153,311.09 and 27,342.29 is: 41,010.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.58 : 153,311.09 = 27,342.29 : x
  2. Step 2: Convert to fraction form
    102,214.58/153,311.09 = 27,342.29/x
  3. Step 3: Cross multiply
    102,214.58x = 153,311.09 × 27,342.29
  4. Step 4: Simplify right side
    102,214.58x = 4,191,875,379.73
  5. Step 5: Solve for x
    x = 4,191,875,379.73/102,214.58
  6. Step 6: Final answer
    x = 41,010.54

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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.