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Finding the Fourth Proportional to 208,583.73, 287,847.54 and 113,090.67

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Solution

The fourth proportional to 208,583.73, 287,847.54 and 113,090.67 is: 156,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,583.73 : 287,847.54 = 113,090.67 : x
  2. Step 2: Convert to fraction form
    208,583.73/287,847.54 = 113,090.67/x
  3. Step 3: Cross multiply
    208,583.73x = 287,847.54 × 113,090.67
  4. Step 4: Simplify right side
    208,583.73x = 32,552,871,156.45
  5. Step 5: Solve for x
    x = 32,552,871,156.45/208,583.73
  6. Step 6: Final answer
    x = 156,066.20

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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.