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Finding the Fourth Proportional to 341,782.72, 512,761.60 and 105,127.44

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Solution

The fourth proportional to 341,782.72, 512,761.60 and 105,127.44 is: 157,718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,782.72 : 512,761.60 = 105,127.44 : x
  2. Step 2: Convert to fraction form
    341,782.72/512,761.60 = 105,127.44/x
  3. Step 3: Cross multiply
    341,782.72x = 512,761.60 × 105,127.44
  4. Step 4: Simplify right side
    341,782.72x = 53,905,314,338.30
  5. Step 5: Solve for x
    x = 53,905,314,338.30/341,782.72
  6. Step 6: Final answer
    x = 157,718.08

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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.