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Finding the Fourth Proportional to 164,564.10, 246,846.15 and 146,592.90

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Solution

The fourth proportional to 164,564.10, 246,846.15 and 146,592.90 is: 219,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,564.10 : 246,846.15 = 146,592.90 : x
  2. Step 2: Convert to fraction form
    164,564.10/246,846.15 = 146,592.90/x
  3. Step 3: Cross multiply
    164,564.10x = 246,846.15 × 146,592.90
  4. Step 4: Simplify right side
    164,564.10x = 36,185,892,982.34
  5. Step 5: Solve for x
    x = 36,185,892,982.34/164,564.10
  6. Step 6: Final answer
    x = 219,889.35

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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.