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Finding the Fourth Proportional to 277,748.46, 383,324.06 and 156,897.54

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Solution

The fourth proportional to 277,748.46, 383,324.06 and 156,897.54 is: 216,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,748.46 : 383,324.06 = 156,897.54 : x
  2. Step 2: Convert to fraction form
    277,748.46/383,324.06 = 156,897.54/x
  3. Step 3: Cross multiply
    277,748.46x = 383,324.06 × 156,897.54
  4. Step 4: Simplify right side
    277,748.46x = 60,142,602,429.06
  5. Step 5: Solve for x
    x = 60,142,602,429.06/277,748.46
  6. Step 6: Final answer
    x = 216,536.22

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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.