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Finding the Fourth Proportional to 200,985.12, 277,385.76 and 116,102.88

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Solution

The fourth proportional to 200,985.12, 277,385.76 and 116,102.88 is: 160,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,985.12 : 277,385.76 = 116,102.88 : x
  2. Step 2: Convert to fraction form
    200,985.12/277,385.76 = 116,102.88/x
  3. Step 3: Cross multiply
    200,985.12x = 277,385.76 × 116,102.88
  4. Step 4: Simplify right side
    200,985.12x = 32,205,285,606.99
  5. Step 5: Solve for x
    x = 32,205,285,606.99/200,985.12
  6. Step 6: Final answer
    x = 160,237.16

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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.