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Finding the Fourth Proportional to 105,009.72, 144,910.26 and 57,264

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Solution

The fourth proportional to 105,009.72, 144,910.26 and 57,264 is: 79,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,009.72 : 144,910.26 = 57,264 : x
  2. Step 2: Convert to fraction form
    105,009.72/144,910.26 = 57,264/x
  3. Step 3: Cross multiply
    105,009.72x = 144,910.26 × 57,264
  4. Step 4: Simplify right side
    105,009.72x = 8,298,141,128.64
  5. Step 5: Solve for x
    x = 8,298,141,128.64/105,009.72
  6. Step 6: Final answer
    x = 79,022.60

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