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Finding the Fourth Proportional to 354,533.49, 531,719.24 and 101,812.01

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Solution

The fourth proportional to 354,533.49, 531,719.24 and 101,812.01 is: 152,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,533.49 : 531,719.24 = 101,812.01 : x
  2. Step 2: Convert to fraction form
    354,533.49/531,719.24 = 101,812.01/x
  3. Step 3: Cross multiply
    354,533.49x = 531,719.24 × 101,812.01
  4. Step 4: Simplify right side
    354,533.49x = 54,135,401,412.42
  5. Step 5: Solve for x
    x = 54,135,401,412.42/354,533.49
  6. Step 6: Final answer
    x = 152,694.75

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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.