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Finding the Fourth Proportional to 96,368.49, 144,290.30 and 74,946.83

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Solution

The fourth proportional to 96,368.49, 144,290.30 and 74,946.83 is: 112,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,368.49 : 144,290.30 = 74,946.83 : x
  2. Step 2: Convert to fraction form
    96,368.49/144,290.30 = 74,946.83/x
  3. Step 3: Cross multiply
    96,368.49x = 144,290.30 × 74,946.83
  4. Step 4: Simplify right side
    96,368.49x = 10,814,099,488.56
  5. Step 5: Solve for x
    x = 10,814,099,488.56/96,368.49
  6. Step 6: Final answer
    x = 112,216.14

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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.