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Finding the Fourth Proportional to 243,184.34, 364,813.20 and 116,800.81

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Solution

The fourth proportional to 243,184.34, 364,813.20 and 116,800.81 is: 175,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,184.34 : 364,813.20 = 116,800.81 : x
  2. Step 2: Convert to fraction form
    243,184.34/364,813.20 = 116,800.81/x
  3. Step 3: Cross multiply
    243,184.34x = 364,813.20 × 116,800.81
  4. Step 4: Simplify right side
    243,184.34x = 42,610,476,346.66
  5. Step 5: Solve for x
    x = 42,610,476,346.66/243,184.34
  6. Step 6: Final answer
    x = 175,218.83

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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.