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Finding the Fourth Proportional to 156,650.40, 216,289.92 and 96,302

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Solution

The fourth proportional to 156,650.40, 216,289.92 and 96,302 is: 132,965.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,650.40 : 216,289.92 = 96,302 : x
  2. Step 2: Convert to fraction form
    156,650.40/216,289.92 = 96,302/x
  3. Step 3: Cross multiply
    156,650.40x = 216,289.92 × 96,302
  4. Step 4: Simplify right side
    156,650.40x = 20,829,151,875.84
  5. Step 5: Solve for x
    x = 20,829,151,875.84/156,650.40
  6. Step 6: Final answer
    x = 132,965.84

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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.