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Finding the Fourth Proportional to 203,740.62, 305,812.07 and 152,963.04

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Solution

The fourth proportional to 203,740.62, 305,812.07 and 152,963.04 is: 229,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,740.62 : 305,812.07 = 152,963.04 : x
  2. Step 2: Convert to fraction form
    203,740.62/305,812.07 = 152,963.04/x
  3. Step 3: Cross multiply
    203,740.62x = 305,812.07 × 152,963.04
  4. Step 4: Simplify right side
    203,740.62x = 46,777,943,895.89
  5. Step 5: Solve for x
    x = 46,777,943,895.89/203,740.62
  6. Step 6: Final answer
    x = 229,595.57

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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.