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Finding the Fourth Proportional to 260,302, 359,217 and 141,070

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Solution

The fourth proportional to 260,302, 359,217 and 141,070 is: 194,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,302 : 359,217 = 141,070 : x
  2. Step 2: Convert to fraction form
    260,302/359,217 = 141,070/x
  3. Step 3: Cross multiply
    260,302x = 359,217 × 141,070
  4. Step 4: Simplify right side
    260,302x = 50,674,742,190
  5. Step 5: Solve for x
    x = 50,674,742,190/260,302
  6. Step 6: Final answer
    x = 194,676.73

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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.