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Finding the Fourth Proportional to 300,647.36, 450,970.74 and 123,154.70

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Solution

The fourth proportional to 300,647.36, 450,970.74 and 123,154.70 is: 184,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,647.36 : 450,970.74 = 123,154.70 : x
  2. Step 2: Convert to fraction form
    300,647.36/450,970.74 = 123,154.70/x
  3. Step 3: Cross multiply
    300,647.36x = 450,970.74 × 123,154.70
  4. Step 4: Simplify right side
    300,647.36x = 55,539,163,938.62
  5. Step 5: Solve for x
    x = 55,539,163,938.62/300,647.36
  6. Step 6: Final answer
    x = 184,731.92

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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.