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Finding the Fourth Proportional to 214,696.28, 296,294.28 and 124,068.90

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Solution

The fourth proportional to 214,696.28, 296,294.28 and 124,068.90 is: 171,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,696.28 : 296,294.28 = 124,068.90 : x
  2. Step 2: Convert to fraction form
    214,696.28/296,294.28 = 124,068.90/x
  3. Step 3: Cross multiply
    214,696.28x = 296,294.28 × 124,068.90
  4. Step 4: Simplify right side
    214,696.28x = 36,760,905,395.89
  5. Step 5: Solve for x
    x = 36,760,905,395.89/214,696.28
  6. Step 6: Final answer
    x = 171,222.83

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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.