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Finding the Fourth Proportional to 146,810.86, 202,589.38 and 86,369.81

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Solution

The fourth proportional to 146,810.86, 202,589.38 and 86,369.81 is: 119,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,810.86 : 202,589.38 = 86,369.81 : x
  2. Step 2: Convert to fraction form
    146,810.86/202,589.38 = 86,369.81/x
  3. Step 3: Cross multiply
    146,810.86x = 202,589.38 × 86,369.81
  4. Step 4: Simplify right side
    146,810.86x = 17,497,607,224.18
  5. Step 5: Solve for x
    x = 17,497,607,224.18/146,810.86
  6. Step 6: Final answer
    x = 119,184.69

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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.