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Finding the Fourth Proportional to 263,691.70, 363,886.77 and 148,975.72

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Solution

The fourth proportional to 263,691.70, 363,886.77 and 148,975.72 is: 205,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,691.70 : 363,886.77 = 148,975.72 : x
  2. Step 2: Convert to fraction form
    263,691.70/363,886.77 = 148,975.72/x
  3. Step 3: Cross multiply
    263,691.70x = 363,886.77 × 148,975.72
  4. Step 4: Simplify right side
    263,691.70x = 54,210,293,559.22
  5. Step 5: Solve for x
    x = 54,210,293,559.22/263,691.70
  6. Step 6: Final answer
    x = 205,582.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.