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Finding the Fourth Proportional to 241,570.98, 362,375.46 and 64,078.02

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Solution

The fourth proportional to 241,570.98, 362,375.46 and 64,078.02 is: 96,122.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,570.98 : 362,375.46 = 64,078.02 : x
  2. Step 2: Convert to fraction form
    241,570.98/362,375.46 = 64,078.02/x
  3. Step 3: Cross multiply
    241,570.98x = 362,375.46 × 64,078.02
  4. Step 4: Simplify right side
    241,570.98x = 23,220,301,973.39
  5. Step 5: Solve for x
    x = 23,220,301,973.39/241,570.98
  6. Step 6: Final answer
    x = 96,122.07

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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.