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Finding the Fourth Proportional to 243,815.38, 365,390.88 and 117,446.44

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Solution

The fourth proportional to 243,815.38, 365,390.88 and 117,446.44 is: 176,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,815.38 : 365,390.88 = 117,446.44 : x
  2. Step 2: Convert to fraction form
    243,815.38/365,390.88 = 117,446.44/x
  3. Step 3: Cross multiply
    243,815.38x = 365,390.88 × 117,446.44
  4. Step 4: Simplify right side
    243,815.38x = 42,913,858,064.47
  5. Step 5: Solve for x
    x = 42,913,858,064.47/243,815.38
  6. Step 6: Final answer
    x = 176,009.64

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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.