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Finding the Fourth Proportional to 277,324.68, 415,820.16 and 134,888.88

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Solution

The fourth proportional to 277,324.68, 415,820.16 and 134,888.88 is: 202,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,324.68 : 415,820.16 = 134,888.88 : x
  2. Step 2: Convert to fraction form
    277,324.68/415,820.16 = 134,888.88/x
  3. Step 3: Cross multiply
    277,324.68x = 415,820.16 × 134,888.88
  4. Step 4: Simplify right side
    277,324.68x = 56,089,515,663.82
  5. Step 5: Solve for x
    x = 56,089,515,663.82/277,324.68
  6. Step 6: Final answer
    x = 202,252.16

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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.