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Finding the Fourth Proportional to 214,916.69, 296,571.48 and 119,417.69

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Solution

The fourth proportional to 214,916.69, 296,571.48 and 119,417.69 is: 164,788.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,916.69 : 296,571.48 = 119,417.69 : x
  2. Step 2: Convert to fraction form
    214,916.69/296,571.48 = 119,417.69/x
  3. Step 3: Cross multiply
    214,916.69x = 296,571.48 × 119,417.69
  4. Step 4: Simplify right side
    214,916.69x = 35,415,881,355.09
  5. Step 5: Solve for x
    x = 35,415,881,355.09/214,916.69
  6. Step 6: Final answer
    x = 164,788.88

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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.