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Finding the Fourth Proportional to 277,884.71, 383,475.88 and 157,023.38

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Solution

The fourth proportional to 277,884.71, 383,475.88 and 157,023.38 is: 216,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,884.71 : 383,475.88 = 157,023.38 : x
  2. Step 2: Convert to fraction form
    277,884.71/383,475.88 = 157,023.38/x
  3. Step 3: Cross multiply
    277,884.71x = 383,475.88 × 157,023.38
  4. Step 4: Simplify right side
    277,884.71x = 60,214,676,516.14
  5. Step 5: Solve for x
    x = 60,214,676,516.14/277,884.71
  6. Step 6: Final answer
    x = 216,689.42

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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.