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Finding the Fourth Proportional to 132,043, 182,219.64 and 75,454.24

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Solution

The fourth proportional to 132,043, 182,219.64 and 75,454.24 is: 104,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,043 : 182,219.64 = 75,454.24 : x
  2. Step 2: Convert to fraction form
    132,043/182,219.64 = 75,454.24/x
  3. Step 3: Cross multiply
    132,043x = 182,219.64 × 75,454.24
  4. Step 4: Simplify right side
    132,043x = 13,749,244,449.27
  5. Step 5: Solve for x
    x = 13,749,244,449.27/132,043
  6. Step 6: Final answer
    x = 104,127.02

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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.