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Finding the Fourth Proportional to 104,643.12, 144,406.75 and 56,896.50

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Solution

The fourth proportional to 104,643.12, 144,406.75 and 56,896.50 is: 78,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,643.12 : 144,406.75 = 56,896.50 : x
  2. Step 2: Convert to fraction form
    104,643.12/144,406.75 = 56,896.50/x
  3. Step 3: Cross multiply
    104,643.12x = 144,406.75 × 56,896.50
  4. Step 4: Simplify right side
    104,643.12x = 8,216,238,651.38
  5. Step 5: Solve for x
    x = 8,216,238,651.38/104,643.12
  6. Step 6: Final answer
    x = 78,516.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.