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Finding the Fourth Proportional to 263,151, 363,147.80 and 148,429.26

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Solution

The fourth proportional to 263,151, 363,147.80 and 148,429.26 is: 204,832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,151 : 363,147.80 = 148,429.26 : x
  2. Step 2: Convert to fraction form
    263,151/363,147.80 = 148,429.26/x
  3. Step 3: Cross multiply
    263,151x = 363,147.80 × 148,429.26
  4. Step 4: Simplify right side
    263,151x = 53,901,758,482.48
  5. Step 5: Solve for x
    x = 53,901,758,482.48/263,151
  6. Step 6: Final answer
    x = 204,832.05

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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.