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Finding the Fourth Proportional to 362,136.30, 542,815.65 and 137,409.90

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Solution

The fourth proportional to 362,136.30, 542,815.65 and 137,409.90 is: 205,967.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,136.30 : 542,815.65 = 137,409.90 : x
  2. Step 2: Convert to fraction form
    362,136.30/542,815.65 = 137,409.90/x
  3. Step 3: Cross multiply
    362,136.30x = 542,815.65 × 137,409.90
  4. Step 4: Simplify right side
    362,136.30x = 74,588,244,184.94
  5. Step 5: Solve for x
    x = 74,588,244,184.94/362,136.30
  6. Step 6: Final answer
    x = 205,967.32

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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.