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Finding the Fourth Proportional to 164,047.70, 229,822.30 and 164,047.70

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Solution

The fourth proportional to 164,047.70, 229,822.30 and 164,047.70 is: 229,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,047.70 : 229,822.30 = 164,047.70 : x
  2. Step 2: Convert to fraction form
    164,047.70/229,822.30 = 164,047.70/x
  3. Step 3: Cross multiply
    164,047.70x = 229,822.30 × 164,047.70
  4. Step 4: Simplify right side
    164,047.70x = 37,701,819,723.71
  5. Step 5: Solve for x
    x = 37,701,819,723.71/164,047.70
  6. Step 6: Final answer
    x = 229,822.30

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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.