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Finding the Fourth Proportional to 362,029.55, 542,880.30 and 137,315.30

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Solution

The fourth proportional to 362,029.55, 542,880.30 and 137,315.30 is: 205,910.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,029.55 : 542,880.30 = 137,315.30 : x
  2. Step 2: Convert to fraction form
    362,029.55/542,880.30 = 137,315.30/x
  3. Step 3: Cross multiply
    362,029.55x = 542,880.30 × 137,315.30
  4. Step 4: Simplify right side
    362,029.55x = 74,545,771,258.59
  5. Step 5: Solve for x
    x = 74,545,771,258.59/362,029.55
  6. Step 6: Final answer
    x = 205,910.74

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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.