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Finding the Fourth Proportional to 132,028, 182,208.24 and 75,438.16

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Solution

The fourth proportional to 132,028, 182,208.24 and 75,438.16 is: 104,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,028 : 182,208.24 = 75,438.16 : x
  2. Step 2: Convert to fraction form
    132,028/182,208.24 = 75,438.16/x
  3. Step 3: Cross multiply
    132,028x = 182,208.24 × 75,438.16
  4. Step 4: Simplify right side
    132,028x = 13,745,454,362.44
  5. Step 5: Solve for x
    x = 13,745,454,362.44/132,028
  6. Step 6: Final answer
    x = 104,110.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.