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Finding the Fourth Proportional to 282,263.68, 389,522.40 and 154,941.44

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Solution

The fourth proportional to 282,263.68, 389,522.40 and 154,941.44 is: 213,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,263.68 : 389,522.40 = 154,941.44 : x
  2. Step 2: Convert to fraction form
    282,263.68/389,522.40 = 154,941.44/x
  3. Step 3: Cross multiply
    282,263.68x = 389,522.40 × 154,941.44
  4. Step 4: Simplify right side
    282,263.68x = 60,353,161,568.26
  5. Step 5: Solve for x
    x = 60,353,161,568.26/282,263.68
  6. Step 6: Final answer
    x = 213,818.38

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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.