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Finding the Fourth Proportional to 223,876.98, 308,943.10 and 133,212.20

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Solution

The fourth proportional to 223,876.98, 308,943.10 and 133,212.20 is: 183,828.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,876.98 : 308,943.10 = 133,212.20 : x
  2. Step 2: Convert to fraction form
    223,876.98/308,943.10 = 133,212.20/x
  3. Step 3: Cross multiply
    223,876.98x = 308,943.10 × 133,212.20
  4. Step 4: Simplify right side
    223,876.98x = 41,154,990,025.82
  5. Step 5: Solve for x
    x = 41,154,990,025.82/223,876.98
  6. Step 6: Final answer
    x = 183,828.59

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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.