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Finding the Fourth Proportional to 292,236.44, 437,967.15 and 150,075.98

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Solution

The fourth proportional to 292,236.44, 437,967.15 and 150,075.98 is: 224,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,236.44 : 437,967.15 = 150,075.98 : x
  2. Step 2: Convert to fraction form
    292,236.44/437,967.15 = 150,075.98/x
  3. Step 3: Cross multiply
    292,236.44x = 437,967.15 × 150,075.98
  4. Step 4: Simplify right side
    292,236.44x = 65,728,347,054.22
  5. Step 5: Solve for x
    x = 65,728,347,054.22/292,236.44
  6. Step 6: Final answer
    x = 224,914.96

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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.