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Finding the Fourth Proportional to 147,461.30, 221,192.10 and 36,653.30

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Solution

The fourth proportional to 147,461.30, 221,192.10 and 36,653.30 is: 54,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,461.30 : 221,192.10 = 36,653.30 : x
  2. Step 2: Convert to fraction form
    147,461.30/221,192.10 = 36,653.30/x
  3. Step 3: Cross multiply
    147,461.30x = 221,192.10 × 36,653.30
  4. Step 4: Simplify right side
    147,461.30x = 8,107,420,398.93
  5. Step 5: Solve for x
    x = 8,107,420,398.93/147,461.30
  6. Step 6: Final answer
    x = 54,979.99

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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.