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Finding the Fourth Proportional to 282,950.89, 390,274.51 and 192,149.22

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Solution

The fourth proportional to 282,950.89, 390,274.51 and 192,149.22 is: 265,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,950.89 : 390,274.51 = 192,149.22 : x
  2. Step 2: Convert to fraction form
    282,950.89/390,274.51 = 192,149.22/x
  3. Step 3: Cross multiply
    282,950.89x = 390,274.51 × 192,149.22
  4. Step 4: Simplify right side
    282,950.89x = 74,990,942,682.38
  5. Step 5: Solve for x
    x = 74,990,942,682.38/282,950.89
  6. Step 6: Final answer
    x = 265,031.66

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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.