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Finding the Fourth Proportional to 260,398.50, 359,352.09 and 141,166.50

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Solution

The fourth proportional to 260,398.50, 359,352.09 and 141,166.50 is: 194,810.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,398.50 : 359,352.09 = 141,166.50 : x
  2. Step 2: Convert to fraction form
    260,398.50/359,352.09 = 141,166.50/x
  3. Step 3: Cross multiply
    260,398.50x = 359,352.09 × 141,166.50
  4. Step 4: Simplify right side
    260,398.50x = 50,728,476,812.99
  5. Step 5: Solve for x
    x = 50,728,476,812.99/260,398.50
  6. Step 6: Final answer
    x = 194,810.94

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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.