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Finding the Fourth Proportional to 263,655.48, 363,876.52 and 148,938.96

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Solution

The fourth proportional to 263,655.48, 363,876.52 and 148,938.96 is: 205,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,655.48 : 363,876.52 = 148,938.96 : x
  2. Step 2: Convert to fraction form
    263,655.48/363,876.52 = 148,938.96/x
  3. Step 3: Cross multiply
    263,655.48x = 363,876.52 × 148,938.96
  4. Step 4: Simplify right side
    263,655.48x = 54,195,390,457.22
  5. Step 5: Solve for x
    x = 54,195,390,457.22/263,655.48
  6. Step 6: Final answer
    x = 205,553.82

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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.