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Finding the Fourth Proportional to 342,994.54, 514,491.81 and 143,206.15

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Solution

The fourth proportional to 342,994.54, 514,491.81 and 143,206.15 is: 214,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,994.54 : 514,491.81 = 143,206.15 : x
  2. Step 2: Convert to fraction form
    342,994.54/514,491.81 = 143,206.15/x
  3. Step 3: Cross multiply
    342,994.54x = 514,491.81 × 143,206.15
  4. Step 4: Simplify right side
    342,994.54x = 73,678,391,316.63
  5. Step 5: Solve for x
    x = 73,678,391,316.63/342,994.54
  6. Step 6: Final answer
    x = 214,809.23

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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.