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Finding the Fourth Proportional to 260,555.64, 359,281.24 and 169,743.20

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Solution

The fourth proportional to 260,555.64, 359,281.24 and 169,743.20 is: 234,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,555.64 : 359,281.24 = 169,743.20 : x
  2. Step 2: Convert to fraction form
    260,555.64/359,281.24 = 169,743.20/x
  3. Step 3: Cross multiply
    260,555.64x = 359,281.24 × 169,743.20
  4. Step 4: Simplify right side
    260,555.64x = 60,985,547,377.57
  5. Step 5: Solve for x
    x = 60,985,547,377.57/260,555.64
  6. Step 6: Final answer
    x = 234,059.59

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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.