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Finding the Fourth Proportional to 101,612.86, 152,394.78 and 42,416.44

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Solution

The fourth proportional to 101,612.86, 152,394.78 and 42,416.44 is: 63,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,612.86 : 152,394.78 = 42,416.44 : x
  2. Step 2: Convert to fraction form
    101,612.86/152,394.78 = 42,416.44/x
  3. Step 3: Cross multiply
    101,612.86x = 152,394.78 × 42,416.44
  4. Step 4: Simplify right side
    101,612.86x = 6,464,044,042.18
  5. Step 5: Solve for x
    x = 6,464,044,042.18/101,612.86
  6. Step 6: Final answer
    x = 63,614.43

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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.