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Finding the Fourth Proportional to 96,739.92, 144,798.84 and 65,402.64

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Solution

The fourth proportional to 96,739.92, 144,798.84 and 65,402.64 is: 97,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,739.92 : 144,798.84 = 65,402.64 : x
  2. Step 2: Convert to fraction form
    96,739.92/144,798.84 = 65,402.64/x
  3. Step 3: Cross multiply
    96,739.92x = 144,798.84 × 65,402.64
  4. Step 4: Simplify right side
    96,739.92x = 9,470,226,404.94
  5. Step 5: Solve for x
    x = 9,470,226,404.94/96,739.92
  6. Step 6: Final answer
    x = 97,893.68

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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.