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Finding the Fourth Proportional to 132,574.50, 182,952.84 and 72,958.50

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Solution

The fourth proportional to 132,574.50, 182,952.84 and 72,958.50 is: 100,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,574.50 : 182,952.84 = 72,958.50 : x
  2. Step 2: Convert to fraction form
    132,574.50/182,952.84 = 72,958.50/x
  3. Step 3: Cross multiply
    132,574.50x = 182,952.84 × 72,958.50
  4. Step 4: Simplify right side
    132,574.50x = 13,347,964,777.14
  5. Step 5: Solve for x
    x = 13,347,964,777.14/132,574.50
  6. Step 6: Final answer
    x = 100,682.75

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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.