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Finding the Fourth Proportional to 260,705, 359,772.90 and 141,473

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Solution

The fourth proportional to 260,705, 359,772.90 and 141,473 is: 195,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,705 : 359,772.90 = 141,473 : x
  2. Step 2: Convert to fraction form
    260,705/359,772.90 = 141,473/x
  3. Step 3: Cross multiply
    260,705x = 359,772.90 × 141,473
  4. Step 4: Simplify right side
    260,705x = 50,898,151,481.70
  5. Step 5: Solve for x
    x = 50,898,151,481.70/260,705
  6. Step 6: Final answer
    x = 195,232.74

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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.