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Finding the Fourth Proportional to 224,052.28, 309,095 and 133,357.39

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Solution

The fourth proportional to 224,052.28, 309,095 and 133,357.39 is: 183,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,052.28 : 309,095 = 133,357.39 : x
  2. Step 2: Convert to fraction form
    224,052.28/309,095 = 133,357.39/x
  3. Step 3: Cross multiply
    224,052.28x = 309,095 × 133,357.39
  4. Step 4: Simplify right side
    224,052.28x = 41,220,102,462.05
  5. Step 5: Solve for x
    x = 41,220,102,462.05/224,052.28
  6. Step 6: Final answer
    x = 183,975.38

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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.