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Finding the Fourth Proportional to 362,293.90, 542,836.07 and 159,588

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Solution

The fourth proportional to 362,293.90, 542,836.07 and 159,588 is: 239,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,293.90 : 542,836.07 = 159,588 : x
  2. Step 2: Convert to fraction form
    362,293.90/542,836.07 = 159,588/x
  3. Step 3: Cross multiply
    362,293.90x = 542,836.07 × 159,588
  4. Step 4: Simplify right side
    362,293.90x = 86,630,121,941.22
  5. Step 5: Solve for x
    x = 86,630,121,941.22/362,293.90
  6. Step 6: Final answer
    x = 239,115.60

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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.