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Finding the Fourth Proportional to 132,173.74, 198,457.42 and 53,441.74

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Solution

The fourth proportional to 132,173.74, 198,457.42 and 53,441.74 is: 80,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,173.74 : 198,457.42 = 53,441.74 : x
  2. Step 2: Convert to fraction form
    132,173.74/198,457.42 = 53,441.74/x
  3. Step 3: Cross multiply
    132,173.74x = 198,457.42 × 53,441.74
  4. Step 4: Simplify right side
    132,173.74x = 10,605,909,840.71
  5. Step 5: Solve for x
    x = 10,605,909,840.71/132,173.74
  6. Step 6: Final answer
    x = 80,242.19

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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.