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Finding the Fourth Proportional to 260,768.58, 359,848.16 and 160,147.14

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Solution

The fourth proportional to 260,768.58, 359,848.16 and 160,147.14 is: 220,995.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,768.58 : 359,848.16 = 160,147.14 : x
  2. Step 2: Convert to fraction form
    260,768.58/359,848.16 = 160,147.14/x
  3. Step 3: Cross multiply
    260,768.58x = 359,848.16 × 160,147.14
  4. Step 4: Simplify right side
    260,768.58x = 57,628,653,658.26
  5. Step 5: Solve for x
    x = 57,628,653,658.26/260,768.58
  6. Step 6: Final answer
    x = 220,995.39

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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.