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Finding the Fourth Proportional to 216,333.36, 298,510.38 and 120,827.88

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Solution

The fourth proportional to 216,333.36, 298,510.38 and 120,827.88 is: 166,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,333.36 : 298,510.38 = 120,827.88 : x
  2. Step 2: Convert to fraction form
    216,333.36/298,510.38 = 120,827.88/x
  3. Step 3: Cross multiply
    216,333.36x = 298,510.38 × 120,827.88
  4. Step 4: Simplify right side
    216,333.36x = 36,068,376,373.39
  5. Step 5: Solve for x
    x = 36,068,376,373.39/216,333.36
  6. Step 6: Final answer
    x = 166,725.91

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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.