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Finding the Fourth Proportional to 214,625.34, 296,186.45 and 117,838.13

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Solution

The fourth proportional to 214,625.34, 296,186.45 and 117,838.13 is: 162,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,625.34 : 296,186.45 = 117,838.13 : x
  2. Step 2: Convert to fraction form
    214,625.34/296,186.45 = 117,838.13/x
  3. Step 3: Cross multiply
    214,625.34x = 296,186.45 × 117,838.13
  4. Step 4: Simplify right side
    214,625.34x = 34,902,055,329.22
  5. Step 5: Solve for x
    x = 34,902,055,329.22/214,625.34
  6. Step 6: Final answer
    x = 162,618.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.