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Finding the Fourth Proportional to 282,918.39, 424,113.93 and 194,213.67

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Solution

The fourth proportional to 282,918.39, 424,113.93 and 194,213.67 is: 291,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,918.39 : 424,113.93 = 194,213.67 : x
  2. Step 2: Convert to fraction form
    282,918.39/424,113.93 = 194,213.67/x
  3. Step 3: Cross multiply
    282,918.39x = 424,113.93 × 194,213.67
  4. Step 4: Simplify right side
    282,918.39x = 82,368,722,843.42
  5. Step 5: Solve for x
    x = 82,368,722,843.42/282,918.39
  6. Step 6: Final answer
    x = 291,139.51

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Why These Related Problems?

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