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Finding the Fourth Proportional to 260,712, 359,782.58 and 141,480

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Solution

The fourth proportional to 260,712, 359,782.58 and 141,480 is: 195,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,712 : 359,782.58 = 141,480 : x
  2. Step 2: Convert to fraction form
    260,712/359,782.58 = 141,480/x
  3. Step 3: Cross multiply
    260,712x = 359,782.58 × 141,480
  4. Step 4: Simplify right side
    260,712x = 50,902,039,418.40
  5. Step 5: Solve for x
    x = 50,902,039,418.40/260,712
  6. Step 6: Final answer
    x = 195,242.41

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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.