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Finding the Fourth Proportional to 536,820.21, 805,209.26 and 181,834.20

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Solution

The fourth proportional to 536,820.21, 805,209.26 and 181,834.20 is: 272,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,820.21 : 805,209.26 = 181,834.20 : x
  2. Step 2: Convert to fraction form
    536,820.21/805,209.26 = 181,834.20/x
  3. Step 3: Cross multiply
    536,820.21x = 805,209.26 × 181,834.20
  4. Step 4: Simplify right side
    536,820.21x = 146,414,580,715.52
  5. Step 5: Solve for x
    x = 146,414,580,715.52/536,820.21
  6. Step 6: Final answer
    x = 272,744.17

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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.