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Finding the Fourth Proportional to 150,643.40, 225,973.74 and 45,473

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Solution

The fourth proportional to 150,643.40, 225,973.74 and 45,473 is: 68,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,643.40 : 225,973.74 = 45,473 : x
  2. Step 2: Convert to fraction form
    150,643.40/225,973.74 = 45,473/x
  3. Step 3: Cross multiply
    150,643.40x = 225,973.74 × 45,473
  4. Step 4: Simplify right side
    150,643.40x = 10,275,703,879.02
  5. Step 5: Solve for x
    x = 10,275,703,879.02/150,643.40
  6. Step 6: Final answer
    x = 68,212.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.