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Finding the Fourth Proportional to 260,341.44, 359,261.37 and 147,166.62

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Solution

The fourth proportional to 260,341.44, 359,261.37 and 147,166.62 is: 203,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,341.44 : 359,261.37 = 147,166.62 : x
  2. Step 2: Convert to fraction form
    260,341.44/359,261.37 = 147,166.62/x
  3. Step 3: Cross multiply
    260,341.44x = 359,261.37 × 147,166.62
  4. Step 4: Simplify right side
    260,341.44x = 52,871,281,519.47
  5. Step 5: Solve for x
    x = 52,871,281,519.47/260,341.44
  6. Step 6: Final answer
    x = 203,084.39

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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.