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Finding the Fourth Proportional to 200,284, 276,315.60 and 132,333.28

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Solution

The fourth proportional to 200,284, 276,315.60 and 132,333.28 is: 182,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284 : 276,315.60 = 132,333.28 : x
  2. Step 2: Convert to fraction form
    200,284/276,315.60 = 132,333.28/x
  3. Step 3: Cross multiply
    200,284x = 276,315.60 × 132,333.28
  4. Step 4: Simplify right side
    200,284x = 36,565,749,663.17
  5. Step 5: Solve for x
    x = 36,565,749,663.17/200,284
  6. Step 6: Final answer
    x = 182,569.50

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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.