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Finding the Fourth Proportional to 219,625.32, 303,074.82 and 119,021.16

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Solution

The fourth proportional to 219,625.32, 303,074.82 and 119,021.16 is: 164,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,625.32 : 303,074.82 = 119,021.16 : x
  2. Step 2: Convert to fraction form
    219,625.32/303,074.82 = 119,021.16/x
  3. Step 3: Cross multiply
    219,625.32x = 303,074.82 × 119,021.16
  4. Step 4: Simplify right side
    219,625.32x = 36,072,316,643.19
  5. Step 5: Solve for x
    x = 36,072,316,643.19/219,625.32
  6. Step 6: Final answer
    x = 164,244.80

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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.