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Finding the Fourth Proportional to 226,549, 312,307.14 and 158,353.60

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Solution

The fourth proportional to 226,549, 312,307.14 and 158,353.60 is: 218,296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,549 : 312,307.14 = 158,353.60 : x
  2. Step 2: Convert to fraction form
    226,549/312,307.14 = 158,353.60/x
  3. Step 3: Cross multiply
    226,549x = 312,307.14 × 158,353.60
  4. Step 4: Simplify right side
    226,549x = 49,454,959,924.70
  5. Step 5: Solve for x
    x = 49,454,959,924.70/226,549
  6. Step 6: Final answer
    x = 218,296.97

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1.5x scale

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.