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Finding the Fourth Proportional to 96,454.60, 144,842.46 and 65,066.68

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Solution

The fourth proportional to 96,454.60, 144,842.46 and 65,066.68 is: 97,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,454.60 : 144,842.46 = 65,066.68 : x
  2. Step 2: Convert to fraction form
    96,454.60/144,842.46 = 65,066.68/x
  3. Step 3: Cross multiply
    96,454.60x = 144,842.46 × 65,066.68
  4. Step 4: Simplify right side
    96,454.60x = 9,424,417,995.23
  5. Step 5: Solve for x
    x = 9,424,417,995.23/96,454.60
  6. Step 6: Final answer
    x = 97,708.33

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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.