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Finding the Fourth Proportional to 214,532.01, 296,054.16 and 119,054.07

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Solution

The fourth proportional to 214,532.01, 296,054.16 and 119,054.07 is: 164,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,532.01 : 296,054.16 = 119,054.07 : x
  2. Step 2: Convert to fraction form
    214,532.01/296,054.16 = 119,054.07/x
  3. Step 3: Cross multiply
    214,532.01x = 296,054.16 × 119,054.07
  4. Step 4: Simplify right side
    214,532.01x = 35,246,452,688.43
  5. Step 5: Solve for x
    x = 35,246,452,688.43/214,532.01
  6. Step 6: Final answer
    x = 164,294.61

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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.