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Finding the Fourth Proportional to 65,206.60, 97,809.90 and 61,318.60

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Solution

The fourth proportional to 65,206.60, 97,809.90 and 61,318.60 is: 91,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.60 : 97,809.90 = 61,318.60 : x
  2. Step 2: Convert to fraction form
    65,206.60/97,809.90 = 61,318.60/x
  3. Step 3: Cross multiply
    65,206.60x = 97,809.90 × 61,318.60
  4. Step 4: Simplify right side
    65,206.60x = 5,997,566,134.14
  5. Step 5: Solve for x
    x = 5,997,566,134.14/65,206.60
  6. Step 6: Final answer
    x = 91,977.90

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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.