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Finding the Fourth Proportional to 206,055.56, 308,709.59 and 152,153.69

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Solution

The fourth proportional to 206,055.56, 308,709.59 and 152,153.69 is: 227,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,055.56 : 308,709.59 = 152,153.69 : x
  2. Step 2: Convert to fraction form
    206,055.56/308,709.59 = 152,153.69/x
  3. Step 3: Cross multiply
    206,055.56x = 308,709.59 × 152,153.69
  4. Step 4: Simplify right side
    206,055.56x = 46,971,300,952.57
  5. Step 5: Solve for x
    x = 46,971,300,952.57/206,055.56
  6. Step 6: Final answer
    x = 227,954.55

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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.