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Finding the Fourth Proportional to 262,076.64, 361,675.44 and 148,918.56

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Solution

The fourth proportional to 262,076.64, 361,675.44 and 148,918.56 is: 205,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,076.64 : 361,675.44 = 148,918.56 : x
  2. Step 2: Convert to fraction form
    262,076.64/361,675.44 = 148,918.56/x
  3. Step 3: Cross multiply
    262,076.64x = 361,675.44 × 148,918.56
  4. Step 4: Simplify right side
    262,076.64x = 53,860,185,712.17
  5. Step 5: Solve for x
    x = 53,860,185,712.17/262,076.64
  6. Step 6: Final answer
    x = 205,513.11

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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.