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Finding the Fourth Proportional to 164,064.70, 229,846.10 and 164,064.70

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Solution

The fourth proportional to 164,064.70, 229,846.10 and 164,064.70 is: 229,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,064.70 : 229,846.10 = 164,064.70 : x
  2. Step 2: Convert to fraction form
    164,064.70/229,846.10 = 164,064.70/x
  3. Step 3: Cross multiply
    164,064.70x = 229,846.10 × 164,064.70
  4. Step 4: Simplify right side
    164,064.70x = 37,709,631,442.67
  5. Step 5: Solve for x
    x = 37,709,631,442.67/164,064.70
  6. Step 6: Final answer
    x = 229,846.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.