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Finding the Fourth Proportional to 235,826.61, 353,530.89 and 169,098.81

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Solution

The fourth proportional to 235,826.61, 353,530.89 and 169,098.81 is: 253,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,826.61 : 353,530.89 = 169,098.81 : x
  2. Step 2: Convert to fraction form
    235,826.61/353,530.89 = 169,098.81/x
  3. Step 3: Cross multiply
    235,826.61x = 353,530.89 × 169,098.81
  4. Step 4: Simplify right side
    235,826.61x = 59,781,652,797.24
  5. Step 5: Solve for x
    x = 59,781,652,797.24/235,826.61
  6. Step 6: Final answer
    x = 253,498.33

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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.