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Finding the Fourth Proportional to 200,981.84, 277,298.16 and 129,403.28

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Solution

The fourth proportional to 200,981.84, 277,298.16 and 129,403.28 is: 178,539.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,981.84 : 277,298.16 = 129,403.28 : x
  2. Step 2: Convert to fraction form
    200,981.84/277,298.16 = 129,403.28/x
  3. Step 3: Cross multiply
    200,981.84x = 277,298.16 × 129,403.28
  4. Step 4: Simplify right side
    200,981.84x = 35,883,291,441.96
  5. Step 5: Solve for x
    x = 35,883,291,441.96/200,981.84
  6. Step 6: Final answer
    x = 178,539.97

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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.