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Finding the Fourth Proportional to 260,804.64, 359,892.72 and 147,620.64

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Solution

The fourth proportional to 260,804.64, 359,892.72 and 147,620.64 is: 203,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,804.64 : 359,892.72 = 147,620.64 : x
  2. Step 2: Convert to fraction form
    260,804.64/359,892.72 = 147,620.64/x
  3. Step 3: Cross multiply
    260,804.64x = 359,892.72 × 147,620.64
  4. Step 4: Simplify right side
    260,804.64x = 53,127,593,657.74
  5. Step 5: Solve for x
    x = 53,127,593,657.74/260,804.64
  6. Step 6: Final answer
    x = 203,706.47

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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.