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Finding the Fourth Proportional to 238,963.77, 358,446.66 and 96,811.80

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Solution

The fourth proportional to 238,963.77, 358,446.66 and 96,811.80 is: 145,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963.77 : 358,446.66 = 96,811.80 : x
  2. Step 2: Convert to fraction form
    238,963.77/358,446.66 = 96,811.80/x
  3. Step 3: Cross multiply
    238,963.77x = 358,446.66 × 96,811.80
  4. Step 4: Simplify right side
    238,963.77x = 34,701,866,358.59
  5. Step 5: Solve for x
    x = 34,701,866,358.59/238,963.77
  6. Step 6: Final answer
    x = 145,218.11

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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.