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Finding the Fourth Proportional to 260,246, 359,139.96 and 141,014

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Solution

The fourth proportional to 260,246, 359,139.96 and 141,014 is: 194,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,246 : 359,139.96 = 141,014 : x
  2. Step 2: Convert to fraction form
    260,246/359,139.96 = 141,014/x
  3. Step 3: Cross multiply
    260,246x = 359,139.96 × 141,014
  4. Step 4: Simplify right side
    260,246x = 50,643,762,319.44
  5. Step 5: Solve for x
    x = 50,643,762,319.44/260,246
  6. Step 6: Final answer
    x = 194,599.58

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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.