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Finding the Fourth Proportional to 362,028.55, 542,878.80 and 137,314.30

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Solution

The fourth proportional to 362,028.55, 542,878.80 and 137,314.30 is: 205,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,028.55 : 542,878.80 = 137,314.30 : x
  2. Step 2: Convert to fraction form
    362,028.55/542,878.80 = 137,314.30/x
  3. Step 3: Cross multiply
    362,028.55x = 542,878.80 × 137,314.30
  4. Step 4: Simplify right side
    362,028.55x = 74,545,022,406.84
  5. Step 5: Solve for x
    x = 74,545,022,406.84/362,028.55
  6. Step 6: Final answer
    x = 205,909.24

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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.