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Finding the Fourth Proportional to 181,866.24, 250,976.16 and 106,400.16

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Solution

The fourth proportional to 181,866.24, 250,976.16 and 106,400.16 is: 146,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,866.24 : 250,976.16 = 106,400.16 : x
  2. Step 2: Convert to fraction form
    181,866.24/250,976.16 = 106,400.16/x
  3. Step 3: Cross multiply
    181,866.24x = 250,976.16 × 106,400.16
  4. Step 4: Simplify right side
    181,866.24x = 26,703,903,580.19
  5. Step 5: Solve for x
    x = 26,703,903,580.19/181,866.24
  6. Step 6: Final answer
    x = 146,832.66

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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.