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Finding the Fourth Proportional to 242,287.94, 334,300.16 and 203,672.57

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Solution

The fourth proportional to 242,287.94, 334,300.16 and 203,672.57 is: 281,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,287.94 : 334,300.16 = 203,672.57 : x
  2. Step 2: Convert to fraction form
    242,287.94/334,300.16 = 203,672.57/x
  3. Step 3: Cross multiply
    242,287.94x = 334,300.16 × 203,672.57
  4. Step 4: Simplify right side
    242,287.94x = 68,087,772,556.00
  5. Step 5: Solve for x
    x = 68,087,772,556.00/242,287.94
  6. Step 6: Final answer
    x = 281,020.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.