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Finding the Fourth Proportional to 262,180.90, 361,764.93 and 147,429.82

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Solution

The fourth proportional to 262,180.90, 361,764.93 and 147,429.82 is: 203,428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,180.90 : 361,764.93 = 147,429.82 : x
  2. Step 2: Convert to fraction form
    262,180.90/361,764.93 = 147,429.82/x
  3. Step 3: Cross multiply
    262,180.90x = 361,764.93 × 147,429.82
  4. Step 4: Simplify right side
    262,180.90x = 53,334,938,512.21
  5. Step 5: Solve for x
    x = 53,334,938,512.21/262,180.90
  6. Step 6: Final answer
    x = 203,428.01

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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.