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Finding the Fourth Proportional to 214,543.98, 296,128.14 and 133,922.97

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Solution

The fourth proportional to 214,543.98, 296,128.14 and 133,922.97 is: 184,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543.98 : 296,128.14 = 133,922.97 : x
  2. Step 2: Convert to fraction form
    214,543.98/296,128.14 = 133,922.97/x
  3. Step 3: Cross multiply
    214,543.98x = 296,128.14 × 133,922.97
  4. Step 4: Simplify right side
    214,543.98x = 39,658,360,009.38
  5. Step 5: Solve for x
    x = 39,658,360,009.38/214,543.98
  6. Step 6: Final answer
    x = 184,849.56

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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.