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Finding the Fourth Proportional to 113,980.86, 171,005.85 and 54,799.74

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Solution

The fourth proportional to 113,980.86, 171,005.85 and 54,799.74 is: 82,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,980.86 : 171,005.85 = 54,799.74 : x
  2. Step 2: Convert to fraction form
    113,980.86/171,005.85 = 54,799.74/x
  3. Step 3: Cross multiply
    113,980.86x = 171,005.85 × 54,799.74
  4. Step 4: Simplify right side
    113,980.86x = 9,371,076,118.48
  5. Step 5: Solve for x
    x = 9,371,076,118.48/113,980.86
  6. Step 6: Final answer
    x = 82,216.23

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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.