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Finding the Fourth Proportional to 277,094.47, 415,641.84 and 66,732.34

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Solution

The fourth proportional to 277,094.47, 415,641.84 and 66,732.34 is: 100,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,094.47 : 415,641.84 = 66,732.34 : x
  2. Step 2: Convert to fraction form
    277,094.47/415,641.84 = 66,732.34/x
  3. Step 3: Cross multiply
    277,094.47x = 415,641.84 × 66,732.34
  4. Step 4: Simplify right side
    277,094.47x = 27,736,752,585.11
  5. Step 5: Solve for x
    x = 27,736,752,585.11/277,094.47
  6. Step 6: Final answer
    x = 100,098.54

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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.