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Finding the Fourth Proportional to 260,683.76, 359,799.84 and 158,743.04

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Solution

The fourth proportional to 260,683.76, 359,799.84 and 158,743.04 is: 219,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,683.76 : 359,799.84 = 158,743.04 : x
  2. Step 2: Convert to fraction form
    260,683.76/359,799.84 = 158,743.04/x
  3. Step 3: Cross multiply
    260,683.76x = 359,799.84 × 158,743.04
  4. Step 4: Simplify right side
    260,683.76x = 57,115,720,393.11
  5. Step 5: Solve for x
    x = 57,115,720,393.11/260,683.76
  6. Step 6: Final answer
    x = 219,099.65

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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.