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Finding the Fourth Proportional to 231,185, 346,777.50 and 64,973

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Solution

The fourth proportional to 231,185, 346,777.50 and 64,973 is: 97,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,185 : 346,777.50 = 64,973 : x
  2. Step 2: Convert to fraction form
    231,185/346,777.50 = 64,973/x
  3. Step 3: Cross multiply
    231,185x = 346,777.50 × 64,973
  4. Step 4: Simplify right side
    231,185x = 22,531,174,507.50
  5. Step 5: Solve for x
    x = 22,531,174,507.50/231,185
  6. Step 6: Final answer
    x = 97,459.50

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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.