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Finding the Fourth Proportional to 303,817.14, 456,011.70 and 154,164.81

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Solution

The fourth proportional to 303,817.14, 456,011.70 and 154,164.81 is: 231,392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,817.14 : 456,011.70 = 154,164.81 : x
  2. Step 2: Convert to fraction form
    303,817.14/456,011.70 = 154,164.81/x
  3. Step 3: Cross multiply
    303,817.14x = 456,011.70 × 154,164.81
  4. Step 4: Simplify right side
    303,817.14x = 70,300,957,088.28
  5. Step 5: Solve for x
    x = 70,300,957,088.28/303,817.14
  6. Step 6: Final answer
    x = 231,392.33

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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.