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Finding the Fourth Proportional to 214,580.88, 296,119.44 and 119,088.36

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Solution

The fourth proportional to 214,580.88, 296,119.44 and 119,088.36 is: 164,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,580.88 : 296,119.44 = 119,088.36 : x
  2. Step 2: Convert to fraction form
    214,580.88/296,119.44 = 119,088.36/x
  3. Step 3: Cross multiply
    214,580.88x = 296,119.44 × 119,088.36
  4. Step 4: Simplify right side
    214,580.88x = 35,264,378,473.72
  5. Step 5: Solve for x
    x = 35,264,378,473.72/214,580.88
  6. Step 6: Final answer
    x = 164,340.73

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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.