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Finding the Fourth Proportional to 203,075.20, 304,528.96 and 76,693.94

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Solution

The fourth proportional to 203,075.20, 304,528.96 and 76,693.94 is: 115,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,075.20 : 304,528.96 = 76,693.94 : x
  2. Step 2: Convert to fraction form
    203,075.20/304,528.96 = 76,693.94/x
  3. Step 3: Cross multiply
    203,075.20x = 304,528.96 × 76,693.94
  4. Step 4: Simplify right side
    203,075.20x = 23,355,525,786.50
  5. Step 5: Solve for x
    x = 23,355,525,786.50/203,075.20
  6. Step 6: Final answer
    x = 115,009.25

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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.