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Finding the Fourth Proportional to 105,277.44, 157,888.80 and 30,380.88

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Solution

The fourth proportional to 105,277.44, 157,888.80 and 30,380.88 is: 45,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,277.44 : 157,888.80 = 30,380.88 : x
  2. Step 2: Convert to fraction form
    105,277.44/157,888.80 = 30,380.88/x
  3. Step 3: Cross multiply
    105,277.44x = 157,888.80 × 30,380.88
  4. Step 4: Simplify right side
    105,277.44x = 4,796,800,686.14
  5. Step 5: Solve for x
    x = 4,796,800,686.14/105,277.44
  6. Step 6: Final answer
    x = 45,563.42

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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.