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Finding the Fourth Proportional to 164,126.76, 246,231.57 and 45,798

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Solution

The fourth proportional to 164,126.76, 246,231.57 and 45,798 is: 68,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,126.76 : 246,231.57 = 45,798 : x
  2. Step 2: Convert to fraction form
    164,126.76/246,231.57 = 45,798/x
  3. Step 3: Cross multiply
    164,126.76x = 246,231.57 × 45,798
  4. Step 4: Simplify right side
    164,126.76x = 11,276,913,442.86
  5. Step 5: Solve for x
    x = 11,276,913,442.86/164,126.76
  6. Step 6: Final answer
    x = 68,708.56

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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.