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Finding the Fourth Proportional to 260,743.84, 359,780.80 and 160,174.24

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Solution

The fourth proportional to 260,743.84, 359,780.80 and 160,174.24 is: 221,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,743.84 : 359,780.80 = 160,174.24 : x
  2. Step 2: Convert to fraction form
    260,743.84/359,780.80 = 160,174.24/x
  3. Step 3: Cross multiply
    260,743.84x = 359,780.80 × 160,174.24
  4. Step 4: Simplify right side
    260,743.84x = 57,627,616,206.59
  5. Step 5: Solve for x
    x = 57,627,616,206.59/260,743.84
  6. Step 6: Final answer
    x = 221,012.38

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1.5x scale

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.