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Finding the Fourth Proportional to 260,114.84, 389,557.16 and 221,733

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Solution

The fourth proportional to 260,114.84, 389,557.16 and 221,733 is: 332,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,114.84 : 389,557.16 = 221,733 : x
  2. Step 2: Convert to fraction form
    260,114.84/389,557.16 = 221,733/x
  3. Step 3: Cross multiply
    260,114.84x = 389,557.16 × 221,733
  4. Step 4: Simplify right side
    260,114.84x = 86,377,677,758.28
  5. Step 5: Solve for x
    x = 86,377,677,758.28/260,114.84
  6. Step 6: Final answer
    x = 332,075.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.