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Finding the Fourth Proportional to 103,200.24, 154,797.12 and 29,328.24

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Solution

The fourth proportional to 103,200.24, 154,797.12 and 29,328.24 is: 43,991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,200.24 : 154,797.12 = 29,328.24 : x
  2. Step 2: Convert to fraction form
    103,200.24/154,797.12 = 29,328.24/x
  3. Step 3: Cross multiply
    103,200.24x = 154,797.12 × 29,328.24
  4. Step 4: Simplify right side
    103,200.24x = 4,539,927,086.67
  5. Step 5: Solve for x
    x = 4,539,927,086.67/103,200.24
  6. Step 6: Final answer
    x = 43,991.44

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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.