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Finding the Fourth Proportional to 120,653.46, 180,980.24 and 41,724.63

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Solution

The fourth proportional to 120,653.46, 180,980.24 and 41,724.63 is: 62,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.46 : 180,980.24 = 41,724.63 : x
  2. Step 2: Convert to fraction form
    120,653.46/180,980.24 = 41,724.63/x
  3. Step 3: Cross multiply
    120,653.46x = 180,980.24 × 41,724.63
  4. Step 4: Simplify right side
    120,653.46x = 7,551,333,342.69
  5. Step 5: Solve for x
    x = 7,551,333,342.69/120,653.46
  6. Step 6: Final answer
    x = 62,586.96

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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.