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Finding the Fourth Proportional to 164,133, 246,296.30 and 69,357.06

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Solution

The fourth proportional to 164,133, 246,296.30 and 69,357.06 is: 104,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,133 : 246,296.30 = 69,357.06 : x
  2. Step 2: Convert to fraction form
    164,133/246,296.30 = 69,357.06/x
  3. Step 3: Cross multiply
    164,133x = 246,296.30 × 69,357.06
  4. Step 4: Simplify right side
    164,133x = 17,082,386,910.09
  5. Step 5: Solve for x
    x = 17,082,386,910.09/164,133
  6. Step 6: Final answer
    x = 104,076.49

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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.