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Finding the Fourth Proportional to 354,137.16, 531,309.37 and 114,246.45

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Solution

The fourth proportional to 354,137.16, 531,309.37 and 114,246.45 is: 171,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,137.16 : 531,309.37 = 114,246.45 : x
  2. Step 2: Convert to fraction form
    354,137.16/531,309.37 = 114,246.45/x
  3. Step 3: Cross multiply
    354,137.16x = 531,309.37 × 114,246.45
  4. Step 4: Simplify right side
    354,137.16x = 60,700,209,374.24
  5. Step 5: Solve for x
    x = 60,700,209,374.24/354,137.16
  6. Step 6: Final answer
    x = 171,403.11

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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.