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Finding the Fourth Proportional to 212,814.10, 319,075.35 and 100,548.10

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Solution

The fourth proportional to 212,814.10, 319,075.35 and 100,548.10 is: 150,753.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.10 : 319,075.35 = 100,548.10 : x
  2. Step 2: Convert to fraction form
    212,814.10/319,075.35 = 100,548.10/x
  3. Step 3: Cross multiply
    212,814.10x = 319,075.35 × 100,548.10
  4. Step 4: Simplify right side
    212,814.10x = 32,082,420,199.34
  5. Step 5: Solve for x
    x = 32,082,420,199.34/212,814.10
  6. Step 6: Final answer
    x = 150,753.26

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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.