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Finding the Fourth Proportional to 260,189.12, 359,056.32 and 147,009.44

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Solution

The fourth proportional to 260,189.12, 359,056.32 and 147,009.44 is: 202,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,189.12 : 359,056.32 = 147,009.44 : x
  2. Step 2: Convert to fraction form
    260,189.12/359,056.32 = 147,009.44/x
  3. Step 3: Cross multiply
    260,189.12x = 359,056.32 × 147,009.44
  4. Step 4: Simplify right side
    260,189.12x = 52,784,668,531.66
  5. Step 5: Solve for x
    x = 52,784,668,531.66/260,189.12
  6. Step 6: Final answer
    x = 202,870.39

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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.