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Finding the Fourth Proportional to 301,830.93, 452,744.78 and 77,191.01

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Solution

The fourth proportional to 301,830.93, 452,744.78 and 77,191.01 is: 115,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.93 : 452,744.78 = 77,191.01 : x
  2. Step 2: Convert to fraction form
    301,830.93/452,744.78 = 77,191.01/x
  3. Step 3: Cross multiply
    301,830.93x = 452,744.78 × 77,191.01
  4. Step 4: Simplify right side
    301,830.93x = 34,947,824,190.75
  5. Step 5: Solve for x
    x = 34,947,824,190.75/301,830.93
  6. Step 6: Final answer
    x = 115,786.09

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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.