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Finding the Fourth Proportional to 536,922.32, 805,213.31 and 181,853.30

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Solution

The fourth proportional to 536,922.32, 805,213.31 and 181,853.30 is: 272,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,922.32 : 805,213.31 = 181,853.30 : x
  2. Step 2: Convert to fraction form
    536,922.32/805,213.31 = 181,853.30/x
  3. Step 3: Cross multiply
    536,922.32x = 805,213.31 × 181,853.30
  4. Step 4: Simplify right side
    536,922.32x = 146,430,698,731.19
  5. Step 5: Solve for x
    x = 146,430,698,731.19/536,922.32
  6. Step 6: Final answer
    x = 272,722.32

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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.