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Finding the Fourth Proportional to 200,820.84, 277,130.43 and 115,936.08

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Solution

The fourth proportional to 200,820.84, 277,130.43 and 115,936.08 is: 159,990.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820.84 : 277,130.43 = 115,936.08 : x
  2. Step 2: Convert to fraction form
    200,820.84/277,130.43 = 115,936.08/x
  3. Step 3: Cross multiply
    200,820.84x = 277,130.43 × 115,936.08
  4. Step 4: Simplify right side
    200,820.84x = 32,129,415,702.91
  5. Step 5: Solve for x
    x = 32,129,415,702.91/200,820.84
  6. Step 6: Final answer
    x = 159,990.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.