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Finding the Fourth Proportional to 147,459.30, 221,189.10 and 36,651.30

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Solution

The fourth proportional to 147,459.30, 221,189.10 and 36,651.30 is: 54,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,459.30 : 221,189.10 = 36,651.30 : x
  2. Step 2: Convert to fraction form
    147,459.30/221,189.10 = 36,651.30/x
  3. Step 3: Cross multiply
    147,459.30x = 221,189.10 × 36,651.30
  4. Step 4: Simplify right side
    147,459.30x = 8,106,868,060.83
  5. Step 5: Solve for x
    x = 8,106,868,060.83/147,459.30
  6. Step 6: Final answer
    x = 54,976.99

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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.