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Finding the Fourth Proportional to 146,809.89, 202,588.06 and 86,368.86

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Solution

The fourth proportional to 146,809.89, 202,588.06 and 86,368.86 is: 119,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,809.89 : 202,588.06 = 86,368.86 : x
  2. Step 2: Convert to fraction form
    146,809.89/202,588.06 = 86,368.86/x
  3. Step 3: Cross multiply
    146,809.89x = 202,588.06 × 86,368.86
  4. Step 4: Simplify right side
    146,809.89x = 17,497,298,816.18
  5. Step 5: Solve for x
    x = 17,497,298,816.18/146,809.89
  6. Step 6: Final answer
    x = 119,183.38

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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.