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Finding the Fourth Proportional to 206,582.70, 310,056.30 and 122,237.40

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Solution

The fourth proportional to 206,582.70, 310,056.30 and 122,237.40 is: 183,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,582.70 : 310,056.30 = 122,237.40 : x
  2. Step 2: Convert to fraction form
    206,582.70/310,056.30 = 122,237.40/x
  3. Step 3: Cross multiply
    206,582.70x = 310,056.30 × 122,237.40
  4. Step 4: Simplify right side
    206,582.70x = 37,900,475,965.62
  5. Step 5: Solve for x
    x = 37,900,475,965.62/206,582.70
  6. Step 6: Final answer
    x = 183,463.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.