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Finding the Fourth Proportional to 341,764.60, 512,695.92 and 105,127.24

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Solution

The fourth proportional to 341,764.60, 512,695.92 and 105,127.24 is: 157,705.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,764.60 : 512,695.92 = 105,127.24 : x
  2. Step 2: Convert to fraction form
    341,764.60/512,695.92 = 105,127.24/x
  3. Step 3: Cross multiply
    341,764.60x = 512,695.92 × 105,127.24
  4. Step 4: Simplify right side
    341,764.60x = 53,898,307,028.86
  5. Step 5: Solve for x
    x = 53,898,307,028.86/341,764.60
  6. Step 6: Final answer
    x = 157,705.94

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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.