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Finding the Fourth Proportional to 200,705.34, 276,971.09 and 115,820.58

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Solution

The fourth proportional to 200,705.34, 276,971.09 and 115,820.58 is: 159,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,705.34 : 276,971.09 = 115,820.58 : x
  2. Step 2: Convert to fraction form
    200,705.34/276,971.09 = 115,820.58/x
  3. Step 3: Cross multiply
    200,705.34x = 276,971.09 × 115,820.58
  4. Step 4: Simplify right side
    200,705.34x = 32,078,951,707.93
  5. Step 5: Solve for x
    x = 32,078,951,707.93/200,705.34
  6. Step 6: Final answer
    x = 159,831.08

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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.