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Finding the Fourth Proportional to 69,216.65, 97,165.75 and 69,216.65

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Solution

The fourth proportional to 69,216.65, 97,165.75 and 69,216.65 is: 97,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216.65 : 97,165.75 = 69,216.65 : x
  2. Step 2: Convert to fraction form
    69,216.65/97,165.75 = 69,216.65/x
  3. Step 3: Cross multiply
    69,216.65x = 97,165.75 × 69,216.65
  4. Step 4: Simplify right side
    69,216.65x = 6,725,487,709.74
  5. Step 5: Solve for x
    x = 6,725,487,709.74/69,216.65
  6. Step 6: Final answer
    x = 97,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.