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Finding the Fourth Proportional to 105,804.71, 146,005.49 and 58,057.01

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Solution

The fourth proportional to 105,804.71, 146,005.49 and 58,057.01 is: 80,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,804.71 : 146,005.49 = 58,057.01 : x
  2. Step 2: Convert to fraction form
    105,804.71/146,005.49 = 58,057.01/x
  3. Step 3: Cross multiply
    105,804.71x = 146,005.49 × 58,057.01
  4. Step 4: Simplify right side
    105,804.71x = 8,476,641,902.70
  5. Step 5: Solve for x
    x = 8,476,641,902.70/105,804.71
  6. Step 6: Final answer
    x = 80,115.92

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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.