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Finding the Fourth Proportional to 197,269.02, 295,978.02 and 118,438.20

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Solution

The fourth proportional to 197,269.02, 295,978.02 and 118,438.20 is: 177,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,269.02 : 295,978.02 = 118,438.20 : x
  2. Step 2: Convert to fraction form
    197,269.02/295,978.02 = 118,438.20/x
  3. Step 3: Cross multiply
    197,269.02x = 295,978.02 × 118,438.20
  4. Step 4: Simplify right side
    197,269.02x = 35,055,103,928.36
  5. Step 5: Solve for x
    x = 35,055,103,928.36/197,269.02
  6. Step 6: Final answer
    x = 177,702.02

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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.