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Finding the Fourth Proportional to 96,078.58, 144,114.74 and 43,488.10

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Solution

The fourth proportional to 96,078.58, 144,114.74 and 43,488.10 is: 65,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078.58 : 144,114.74 = 43,488.10 : x
  2. Step 2: Convert to fraction form
    96,078.58/144,114.74 = 43,488.10/x
  3. Step 3: Cross multiply
    96,078.58x = 144,114.74 × 43,488.10
  4. Step 4: Simplify right side
    96,078.58x = 6,267,276,224.59
  5. Step 5: Solve for x
    x = 6,267,276,224.59/96,078.58
  6. Step 6: Final answer
    x = 65,230.73

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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.