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Finding the Fourth Proportional to 215,895.20, 323,745.60 and 97,505.60

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Solution

The fourth proportional to 215,895.20, 323,745.60 and 97,505.60 is: 146,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,895.20 : 323,745.60 = 97,505.60 : x
  2. Step 2: Convert to fraction form
    215,895.20/323,745.60 = 97,505.60/x
  3. Step 3: Cross multiply
    215,895.20x = 323,745.60 × 97,505.60
  4. Step 4: Simplify right side
    215,895.20x = 31,567,008,975.36
  5. Step 5: Solve for x
    x = 31,567,008,975.36/215,895.20
  6. Step 6: Final answer
    x = 146,214.50

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1.5x scale

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.