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Finding the Fourth Proportional to 260,301, 359,215.62 and 141,069

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Solution

The fourth proportional to 260,301, 359,215.62 and 141,069 is: 194,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301 : 359,215.62 = 141,069 : x
  2. Step 2: Convert to fraction form
    260,301/359,215.62 = 141,069/x
  3. Step 3: Cross multiply
    260,301x = 359,215.62 × 141,069
  4. Step 4: Simplify right side
    260,301x = 50,674,188,297.78
  5. Step 5: Solve for x
    x = 50,674,188,297.78/260,301
  6. Step 6: Final answer
    x = 194,675.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.