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Finding the Fourth Proportional to 215,851.20, 323,679.60 and 97,461.60

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Solution

The fourth proportional to 215,851.20, 323,679.60 and 97,461.60 is: 146,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,851.20 : 323,679.60 = 97,461.60 : x
  2. Step 2: Convert to fraction form
    215,851.20/323,679.60 = 97,461.60/x
  3. Step 3: Cross multiply
    215,851.20x = 323,679.60 × 97,461.60
  4. Step 4: Simplify right side
    215,851.20x = 31,546,331,703.36
  5. Step 5: Solve for x
    x = 31,546,331,703.36/215,851.20
  6. Step 6: Final answer
    x = 146,148.51

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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.