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Finding the Fourth Proportional to 109,078.68, 163,618 and 34,199.21

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Solution

The fourth proportional to 109,078.68, 163,618 and 34,199.21 is: 51,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,078.68 : 163,618 = 34,199.21 : x
  2. Step 2: Convert to fraction form
    109,078.68/163,618 = 34,199.21/x
  3. Step 3: Cross multiply
    109,078.68x = 163,618 × 34,199.21
  4. Step 4: Simplify right side
    109,078.68x = 5,595,606,341.78
  5. Step 5: Solve for x
    x = 5,595,606,341.78/109,078.68
  6. Step 6: Final answer
    x = 51,298.81

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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.