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Finding the Fourth Proportional to 65,201.20, 97,583.10 and 65,201.20

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Solution

The fourth proportional to 65,201.20, 97,583.10 and 65,201.20 is: 97,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.20 : 97,583.10 = 65,201.20 : x
  2. Step 2: Convert to fraction form
    65,201.20/97,583.10 = 65,201.20/x
  3. Step 3: Cross multiply
    65,201.20x = 97,583.10 × 65,201.20
  4. Step 4: Simplify right side
    65,201.20x = 6,362,535,219.72
  5. Step 5: Solve for x
    x = 6,362,535,219.72/65,201.20
  6. Step 6: Final answer
    x = 97,583.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.