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Finding the Fourth Proportional to 164,061.70, 229,841.90 and 164,061.70

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Solution

The fourth proportional to 164,061.70, 229,841.90 and 164,061.70 is: 229,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,061.70 : 229,841.90 = 164,061.70 : x
  2. Step 2: Convert to fraction form
    164,061.70/229,841.90 = 164,061.70/x
  3. Step 3: Cross multiply
    164,061.70x = 229,841.90 × 164,061.70
  4. Step 4: Simplify right side
    164,061.70x = 37,708,252,845.23
  5. Step 5: Solve for x
    x = 37,708,252,845.23/164,061.70
  6. Step 6: Final answer
    x = 229,841.90

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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.