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Finding the Fourth Proportional to 262,199.84, 361,848.60 and 147,480.80

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Solution

The fourth proportional to 262,199.84, 361,848.60 and 147,480.80 is: 203,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,199.84 : 361,848.60 = 147,480.80 : x
  2. Step 2: Convert to fraction form
    262,199.84/361,848.60 = 147,480.80/x
  3. Step 3: Cross multiply
    262,199.84x = 361,848.60 × 147,480.80
  4. Step 4: Simplify right side
    262,199.84x = 53,365,721,006.88
  5. Step 5: Solve for x
    x = 53,365,721,006.88/262,199.84
  6. Step 6: Final answer
    x = 203,530.72

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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.