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Finding the Fourth Proportional to 153,232.86, 211,486.50 and 89,558.22

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Solution

The fourth proportional to 153,232.86, 211,486.50 and 89,558.22 is: 123,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232.86 : 211,486.50 = 89,558.22 : x
  2. Step 2: Convert to fraction form
    153,232.86/211,486.50 = 89,558.22/x
  3. Step 3: Cross multiply
    153,232.86x = 211,486.50 × 89,558.22
  4. Step 4: Simplify right side
    153,232.86x = 18,940,354,494.03
  5. Step 5: Solve for x
    x = 18,940,354,494.03/153,232.86
  6. Step 6: Final answer
    x = 123,605.04

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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.