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Finding the Fourth Proportional to 144,782.40, 217,039.14 and 56,093.88

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Solution

The fourth proportional to 144,782.40, 217,039.14 and 56,093.88 is: 84,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,782.40 : 217,039.14 = 56,093.88 : x
  2. Step 2: Convert to fraction form
    144,782.40/217,039.14 = 56,093.88/x
  3. Step 3: Cross multiply
    144,782.40x = 217,039.14 × 56,093.88
  4. Step 4: Simplify right side
    144,782.40x = 12,174,567,474.46
  5. Step 5: Solve for x
    x = 12,174,567,474.46/144,782.40
  6. Step 6: Final answer
    x = 84,088.73

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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.