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Finding the Fourth Proportional to 260,478, 359,459.80 and 141,246

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Solution

The fourth proportional to 260,478, 359,459.80 and 141,246 is: 194,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,478 : 359,459.80 = 141,246 : x
  2. Step 2: Convert to fraction form
    260,478/359,459.80 = 141,246/x
  3. Step 3: Cross multiply
    260,478x = 359,459.80 × 141,246
  4. Step 4: Simplify right side
    260,478x = 50,772,258,910.80
  5. Step 5: Solve for x
    x = 50,772,258,910.80/260,478
  6. Step 6: Final answer
    x = 194,919.57

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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.