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Finding the Fourth Proportional to 164,205, 246,230.94 and 85,298.04

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Solution

The fourth proportional to 164,205, 246,230.94 and 85,298.04 is: 127,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,205 : 246,230.94 = 85,298.04 : x
  2. Step 2: Convert to fraction form
    164,205/246,230.94 = 85,298.04/x
  3. Step 3: Cross multiply
    164,205x = 246,230.94 × 85,298.04
  4. Step 4: Simplify right side
    164,205x = 21,003,016,569.36
  5. Step 5: Solve for x
    x = 21,003,016,569.36/164,205
  6. Step 6: Final answer
    x = 127,907.29

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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.