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Finding the Fourth Proportional to 145,208.14, 200,389.65 and 80,683.14

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Solution

The fourth proportional to 145,208.14, 200,389.65 and 80,683.14 is: 111,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,208.14 : 200,389.65 = 80,683.14 : x
  2. Step 2: Convert to fraction form
    145,208.14/200,389.65 = 80,683.14/x
  3. Step 3: Cross multiply
    145,208.14x = 200,389.65 × 80,683.14
  4. Step 4: Simplify right side
    145,208.14x = 16,168,065,507.21
  5. Step 5: Solve for x
    x = 16,168,065,507.21/145,208.14
  6. Step 6: Final answer
    x = 111,344.07

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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.