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Finding the Fourth Proportional to 164,052.70, 229,829.30 and 164,052.70

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Solution

The fourth proportional to 164,052.70, 229,829.30 and 164,052.70 is: 229,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,052.70 : 229,829.30 = 164,052.70 : x
  2. Step 2: Convert to fraction form
    164,052.70/229,829.30 = 164,052.70/x
  3. Step 3: Cross multiply
    164,052.70x = 229,829.30 × 164,052.70
  4. Step 4: Simplify right side
    164,052.70x = 37,704,117,204.11
  5. Step 5: Solve for x
    x = 37,704,117,204.11/164,052.70
  6. Step 6: Final answer
    x = 229,829.30

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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.