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Finding the Fourth Proportional to 194,417.82, 268,282.94 and 107,199.05

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Solution

The fourth proportional to 194,417.82, 268,282.94 and 107,199.05 is: 147,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,417.82 : 268,282.94 = 107,199.05 : x
  2. Step 2: Convert to fraction form
    194,417.82/268,282.94 = 107,199.05/x
  3. Step 3: Cross multiply
    194,417.82x = 268,282.94 × 107,199.05
  4. Step 4: Simplify right side
    194,417.82x = 28,759,674,421.80
  5. Step 5: Solve for x
    x = 28,759,674,421.80/194,417.82
  6. Step 6: Final answer
    x = 147,927.15

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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.