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Finding the Fourth Proportional to 536,651.63, 804,969.22 and 137,289.02

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Solution

The fourth proportional to 536,651.63, 804,969.22 and 137,289.02 is: 205,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,651.63 : 804,969.22 = 137,289.02 : x
  2. Step 2: Convert to fraction form
    536,651.63/804,969.22 = 137,289.02/x
  3. Step 3: Cross multiply
    536,651.63x = 804,969.22 × 137,289.02
  4. Step 4: Simplify right side
    536,651.63x = 110,513,435,343.96
  5. Step 5: Solve for x
    x = 110,513,435,343.96/536,651.63
  6. Step 6: Final answer
    x = 205,931.43

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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.