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Finding the Fourth Proportional to 106,216.98, 159,270.58 and 31,327.59

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Solution

The fourth proportional to 106,216.98, 159,270.58 and 31,327.59 is: 46,975.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216.98 : 159,270.58 = 31,327.59 : x
  2. Step 2: Convert to fraction form
    106,216.98/159,270.58 = 31,327.59/x
  3. Step 3: Cross multiply
    106,216.98x = 159,270.58 × 31,327.59
  4. Step 4: Simplify right side
    106,216.98x = 4,989,563,429.30
  5. Step 5: Solve for x
    x = 4,989,563,429.30/106,216.98
  6. Step 6: Final answer
    x = 46,975.20

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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.