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Finding the Fourth Proportional to 230,075.82, 344,662.92 and 150,950.16

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Solution

The fourth proportional to 230,075.82, 344,662.92 and 150,950.16 is: 226,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,075.82 : 344,662.92 = 150,950.16 : x
  2. Step 2: Convert to fraction form
    230,075.82/344,662.92 = 150,950.16/x
  3. Step 3: Cross multiply
    230,075.82x = 344,662.92 × 150,950.16
  4. Step 4: Simplify right side
    230,075.82x = 52,026,922,920.07
  5. Step 5: Solve for x
    x = 52,026,922,920.07/230,075.82
  6. Step 6: Final answer
    x = 226,129.47

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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.