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Finding the Fourth Proportional to 197,157.60, 296,173.80 and 189,187.20

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Solution

The fourth proportional to 197,157.60, 296,173.80 and 189,187.20 is: 284,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,157.60 : 296,173.80 = 189,187.20 : x
  2. Step 2: Convert to fraction form
    197,157.60/296,173.80 = 189,187.20/x
  3. Step 3: Cross multiply
    197,157.60x = 296,173.80 × 189,187.20
  4. Step 4: Simplify right side
    197,157.60x = 56,032,291,935.36
  5. Step 5: Solve for x
    x = 56,032,291,935.36/197,157.60
  6. Step 6: Final answer
    x = 284,200.52

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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.