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Finding the Fourth Proportional to 263,154, 363,151.93 and 148,432.26

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Solution

The fourth proportional to 263,154, 363,151.93 and 148,432.26 is: 204,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,154 : 363,151.93 = 148,432.26 : x
  2. Step 2: Convert to fraction form
    263,154/363,151.93 = 148,432.26/x
  3. Step 3: Cross multiply
    263,154x = 363,151.93 × 148,432.26
  4. Step 4: Simplify right side
    263,154x = 53,903,461,693.26
  5. Step 5: Solve for x
    x = 53,903,461,693.26/263,154
  6. Step 6: Final answer
    x = 204,836.19

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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.