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Finding the Fourth Proportional to 241,564.88, 362,346.84 and 64,089.68

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Solution

The fourth proportional to 241,564.88, 362,346.84 and 64,089.68 is: 96,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,564.88 : 362,346.84 = 64,089.68 : x
  2. Step 2: Convert to fraction form
    241,564.88/362,346.84 = 64,089.68/x
  3. Step 3: Cross multiply
    241,564.88x = 362,346.84 × 64,089.68
  4. Step 4: Simplify right side
    241,564.88x = 23,222,693,024.61
  5. Step 5: Solve for x
    x = 23,222,693,024.61/241,564.88
  6. Step 6: Final answer
    x = 96,134.39

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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.