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Finding the Fourth Proportional to 132,838.52, 199,258.67 and 48,564.01

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Solution

The fourth proportional to 132,838.52, 199,258.67 and 48,564.01 is: 72,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,838.52 : 199,258.67 = 48,564.01 : x
  2. Step 2: Convert to fraction form
    132,838.52/199,258.67 = 48,564.01/x
  3. Step 3: Cross multiply
    132,838.52x = 199,258.67 × 48,564.01
  4. Step 4: Simplify right side
    132,838.52x = 9,676,800,412.95
  5. Step 5: Solve for x
    x = 9,676,800,412.95/132,838.52
  6. Step 6: Final answer
    x = 72,846.35

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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.