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Finding the Fourth Proportional to 250,678.38, 345,914.46 and 147,301.63

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Solution

The fourth proportional to 250,678.38, 345,914.46 and 147,301.63 is: 203,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,678.38 : 345,914.46 = 147,301.63 : x
  2. Step 2: Convert to fraction form
    250,678.38/345,914.46 = 147,301.63/x
  3. Step 3: Cross multiply
    250,678.38x = 345,914.46 × 147,301.63
  4. Step 4: Simplify right side
    250,678.38x = 50,953,763,798.57
  5. Step 5: Solve for x
    x = 50,953,763,798.57/250,678.38
  6. Step 6: Final answer
    x = 203,263.50

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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.