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Finding the Fourth Proportional to 208,102.16, 287,110.69 and 135,471.89

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Solution

The fourth proportional to 208,102.16, 287,110.69 and 135,471.89 is: 186,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.16 : 287,110.69 = 135,471.89 : x
  2. Step 2: Convert to fraction form
    208,102.16/287,110.69 = 135,471.89/x
  3. Step 3: Cross multiply
    208,102.16x = 287,110.69 × 135,471.89
  4. Step 4: Simplify right side
    208,102.16x = 38,895,427,813.50
  5. Step 5: Solve for x
    x = 38,895,427,813.50/208,102.16
  6. Step 6: Final answer
    x = 186,905.45

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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.