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Finding the Fourth Proportional to 200,776.32, 277,058.88 and 120,210.48

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Solution

The fourth proportional to 200,776.32, 277,058.88 and 120,210.48 is: 165,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,776.32 : 277,058.88 = 120,210.48 : x
  2. Step 2: Convert to fraction form
    200,776.32/277,058.88 = 120,210.48/x
  3. Step 3: Cross multiply
    200,776.32x = 277,058.88 × 120,210.48
  4. Step 4: Simplify right side
    200,776.32x = 33,305,380,953.06
  5. Step 5: Solve for x
    x = 33,305,380,953.06/200,776.32
  6. Step 6: Final answer
    x = 165,883.01

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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.