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Finding the Fourth Proportional to 164,056.70, 229,834.90 and 164,056.70

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Solution

The fourth proportional to 164,056.70, 229,834.90 and 164,056.70 is: 229,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,056.70 : 229,834.90 = 164,056.70 : x
  2. Step 2: Convert to fraction form
    164,056.70/229,834.90 = 164,056.70/x
  3. Step 3: Cross multiply
    164,056.70x = 229,834.90 × 164,056.70
  4. Step 4: Simplify right side
    164,056.70x = 37,705,955,238.83
  5. Step 5: Solve for x
    x = 37,705,955,238.83/164,056.70
  6. Step 6: Final answer
    x = 229,834.90

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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.