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Finding the Fourth Proportional to 199,623, 275,479.74 and 110,199.64

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Solution

The fourth proportional to 199,623, 275,479.74 and 110,199.64 is: 152,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,623 : 275,479.74 = 110,199.64 : x
  2. Step 2: Convert to fraction form
    199,623/275,479.74 = 110,199.64/x
  3. Step 3: Cross multiply
    199,623x = 275,479.74 × 110,199.64
  4. Step 4: Simplify right side
    199,623x = 30,357,768,175.29
  5. Step 5: Solve for x
    x = 30,357,768,175.29/199,623
  6. Step 6: Final answer
    x = 152,075.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.