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Finding the Fourth Proportional to 365,224.34, 547,864.02 and 109,036.66

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Solution

The fourth proportional to 365,224.34, 547,864.02 and 109,036.66 is: 163,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,224.34 : 547,864.02 = 109,036.66 : x
  2. Step 2: Convert to fraction form
    365,224.34/547,864.02 = 109,036.66/x
  3. Step 3: Cross multiply
    365,224.34x = 547,864.02 × 109,036.66
  4. Step 4: Simplify right side
    365,224.34x = 59,737,259,590.47
  5. Step 5: Solve for x
    x = 59,737,259,590.47/365,224.34
  6. Step 6: Final answer
    x = 163,563.19

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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.