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Finding the Fourth Proportional to 224,274.76, 336,412.14 and 105,958

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Solution

The fourth proportional to 224,274.76, 336,412.14 and 105,958 is: 158,937

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,274.76 : 336,412.14 = 105,958 : x
  2. Step 2: Convert to fraction form
    224,274.76/336,412.14 = 105,958/x
  3. Step 3: Cross multiply
    224,274.76x = 336,412.14 × 105,958
  4. Step 4: Simplify right side
    224,274.76x = 35,645,557,530.12
  5. Step 5: Solve for x
    x = 35,645,557,530.12/224,274.76
  6. Step 6: Final answer
    x = 158,937

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.