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Finding the Fourth Proportional to 164,056.45, 229,834.55 and 164,056.45

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Solution

The fourth proportional to 164,056.45, 229,834.55 and 164,056.45 is: 229,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,056.45 : 229,834.55 = 164,056.45 : x
  2. Step 2: Convert to fraction form
    164,056.45/229,834.55 = 164,056.45/x
  3. Step 3: Cross multiply
    164,056.45x = 229,834.55 × 164,056.45
  4. Step 4: Simplify right side
    164,056.45x = 37,705,840,360.35
  5. Step 5: Solve for x
    x = 37,705,840,360.35/164,056.45
  6. Step 6: Final answer
    x = 229,834.55

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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.