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Finding the Fourth Proportional to 164,643.55, 246,936.53 and 46,286.76

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Solution

The fourth proportional to 164,643.55, 246,936.53 and 46,286.76 is: 69,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,643.55 : 246,936.53 = 46,286.76 : x
  2. Step 2: Convert to fraction form
    164,643.55/246,936.53 = 46,286.76/x
  3. Step 3: Cross multiply
    164,643.55x = 246,936.53 × 46,286.76
  4. Step 4: Simplify right side
    164,643.55x = 11,429,891,899.34
  5. Step 5: Solve for x
    x = 11,429,891,899.34/164,643.55
  6. Step 6: Final answer
    x = 69,422.04

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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.