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Finding the Fourth Proportional to 132,548.36, 182,921.50 and 75,970.52

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Solution

The fourth proportional to 132,548.36, 182,921.50 and 75,970.52 is: 104,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,548.36 : 182,921.50 = 75,970.52 : x
  2. Step 2: Convert to fraction form
    132,548.36/182,921.50 = 75,970.52/x
  3. Step 3: Cross multiply
    132,548.36x = 182,921.50 × 75,970.52
  4. Step 4: Simplify right side
    132,548.36x = 13,896,641,474.18
  5. Step 5: Solve for x
    x = 13,896,641,474.18/132,548.36
  6. Step 6: Final answer
    x = 104,842.05

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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.