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Finding the Fourth Proportional to 215,920.20, 323,783.10 and 97,530.60

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Solution

The fourth proportional to 215,920.20, 323,783.10 and 97,530.60 is: 146,252.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,920.20 : 323,783.10 = 97,530.60 : x
  2. Step 2: Convert to fraction form
    215,920.20/323,783.10 = 97,530.60/x
  3. Step 3: Cross multiply
    215,920.20x = 323,783.10 × 97,530.60
  4. Step 4: Simplify right side
    215,920.20x = 31,578,760,012.86
  5. Step 5: Solve for x
    x = 31,578,760,012.86/215,920.20
  6. Step 6: Final answer
    x = 146,252.00

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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.