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Finding the Fourth Proportional to 261,516.42, 392,274.63 and 182,784.42

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Solution

The fourth proportional to 261,516.42, 392,274.63 and 182,784.42 is: 274,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,516.42 : 392,274.63 = 182,784.42 : x
  2. Step 2: Convert to fraction form
    261,516.42/392,274.63 = 182,784.42/x
  3. Step 3: Cross multiply
    261,516.42x = 392,274.63 × 182,784.42
  4. Step 4: Simplify right side
    261,516.42x = 71,701,690,725.26
  5. Step 5: Solve for x
    x = 71,701,690,725.26/261,516.42
  6. Step 6: Final answer
    x = 274,176.63

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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.