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Finding the Fourth Proportional to 262,051.14, 361,640.25 and 148,893.06

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Solution

The fourth proportional to 262,051.14, 361,640.25 and 148,893.06 is: 205,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,051.14 : 361,640.25 = 148,893.06 : x
  2. Step 2: Convert to fraction form
    262,051.14/361,640.25 = 148,893.06/x
  3. Step 3: Cross multiply
    262,051.14x = 361,640.25 × 148,893.06
  4. Step 4: Simplify right side
    262,051.14x = 53,845,723,441.67
  5. Step 5: Solve for x
    x = 53,845,723,441.67/262,051.14
  6. Step 6: Final answer
    x = 205,477.92

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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.