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Finding the Fourth Proportional to 361,466.88, 542,075.25 and 148,174.23

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Solution

The fourth proportional to 361,466.88, 542,075.25 and 148,174.23 is: 222,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,466.88 : 542,075.25 = 148,174.23 : x
  2. Step 2: Convert to fraction form
    361,466.88/542,075.25 = 148,174.23/x
  3. Step 3: Cross multiply
    361,466.88x = 542,075.25 × 148,174.23
  4. Step 4: Simplify right side
    361,466.88x = 80,321,582,770.81
  5. Step 5: Solve for x
    x = 80,321,582,770.81/361,466.88
  6. Step 6: Final answer
    x = 222,210.08

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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.