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Finding the Fourth Proportional to 97,659, 146,488.37 and 64,136.64

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Solution

The fourth proportional to 97,659, 146,488.37 and 64,136.64 is: 96,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,659 : 146,488.37 = 64,136.64 : x
  2. Step 2: Convert to fraction form
    97,659/146,488.37 = 64,136.64/x
  3. Step 3: Cross multiply
    97,659x = 146,488.37 × 64,136.64
  4. Step 4: Simplify right side
    97,659x = 9,395,272,079.52
  5. Step 5: Solve for x
    x = 9,395,272,079.52/97,659
  6. Step 6: Final answer
    x = 96,204.88

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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.