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Finding the Fourth Proportional to 203,631.54, 305,038.46 and 97,118.58

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Solution

The fourth proportional to 203,631.54, 305,038.46 and 97,118.58 is: 145,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,631.54 : 305,038.46 = 97,118.58 : x
  2. Step 2: Convert to fraction form
    203,631.54/305,038.46 = 97,118.58/x
  3. Step 3: Cross multiply
    203,631.54x = 305,038.46 × 97,118.58
  4. Step 4: Simplify right side
    203,631.54x = 29,624,902,080.59
  5. Step 5: Solve for x
    x = 29,624,902,080.59/203,631.54
  6. Step 6: Final answer
    x = 145,482.88

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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.