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Finding the Fourth Proportional to 243,211.80, 364,818.92 and 109,936.02

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Solution

The fourth proportional to 243,211.80, 364,818.92 and 109,936.02 is: 164,904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,211.80 : 364,818.92 = 109,936.02 : x
  2. Step 2: Convert to fraction form
    243,211.80/364,818.92 = 109,936.02/x
  3. Step 3: Cross multiply
    243,211.80x = 364,818.92 × 109,936.02
  4. Step 4: Simplify right side
    243,211.80x = 40,106,739,535.82
  5. Step 5: Solve for x
    x = 40,106,739,535.82/243,211.80
  6. Step 6: Final answer
    x = 164,904.58

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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.