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Finding the Fourth Proportional to 214,526.61, 296,046.70 and 119,034

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Solution

The fourth proportional to 214,526.61, 296,046.70 and 119,034 is: 164,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,526.61 : 296,046.70 = 119,034 : x
  2. Step 2: Convert to fraction form
    214,526.61/296,046.70 = 119,034/x
  3. Step 3: Cross multiply
    214,526.61x = 296,046.70 × 119,034
  4. Step 4: Simplify right side
    214,526.61x = 35,239,622,887.80
  5. Step 5: Solve for x
    x = 35,239,622,887.80/214,526.61
  6. Step 6: Final answer
    x = 164,266.91

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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.