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Finding the Fourth Proportional to 260,707, 359,775.68 and 141,475

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Solution

The fourth proportional to 260,707, 359,775.68 and 141,475 is: 195,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,707 : 359,775.68 = 141,475 : x
  2. Step 2: Convert to fraction form
    260,707/359,775.68 = 141,475/x
  3. Step 3: Cross multiply
    260,707x = 359,775.68 × 141,475
  4. Step 4: Simplify right side
    260,707x = 50,899,264,328
  5. Step 5: Solve for x
    x = 50,899,264,328/260,707
  6. Step 6: Final answer
    x = 195,235.51

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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.