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Finding the Fourth Proportional to 105,078.93, 145,009.38 and 57,333.27

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Solution

The fourth proportional to 105,078.93, 145,009.38 and 57,333.27 is: 79,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078.93 : 145,009.38 = 57,333.27 : x
  2. Step 2: Convert to fraction form
    105,078.93/145,009.38 = 57,333.27/x
  3. Step 3: Cross multiply
    105,078.93x = 145,009.38 × 57,333.27
  4. Step 4: Simplify right side
    105,078.93x = 8,313,861,936.07
  5. Step 5: Solve for x
    x = 8,313,861,936.07/105,078.93
  6. Step 6: Final answer
    x = 79,120.16

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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.