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Finding the Fourth Proportional to 102,094.61, 153,149.21 and 27,214.37

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Solution

The fourth proportional to 102,094.61, 153,149.21 and 27,214.37 is: 40,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,094.61 : 153,149.21 = 27,214.37 : x
  2. Step 2: Convert to fraction form
    102,094.61/153,149.21 = 27,214.37/x
  3. Step 3: Cross multiply
    102,094.61x = 153,149.21 × 27,214.37
  4. Step 4: Simplify right side
    102,094.61x = 4,167,858,364.33
  5. Step 5: Solve for x
    x = 4,167,858,364.33/102,094.61
  6. Step 6: Final answer
    x = 40,823.49

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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.