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Finding the Fourth Proportional to 222,959.64, 307,664 and 132,300

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Solution

The fourth proportional to 222,959.64, 307,664 and 132,300 is: 182,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,959.64 : 307,664 = 132,300 : x
  2. Step 2: Convert to fraction form
    222,959.64/307,664 = 132,300/x
  3. Step 3: Cross multiply
    222,959.64x = 307,664 × 132,300
  4. Step 4: Simplify right side
    222,959.64x = 40,703,947,200
  5. Step 5: Solve for x
    x = 40,703,947,200/222,959.64
  6. Step 6: Final answer
    x = 182,561.95

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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.