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Finding the Fourth Proportional to 145,345.68, 200,559.00 and 84,102.39

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Solution

The fourth proportional to 145,345.68, 200,559.00 and 84,102.39 is: 116,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,345.68 : 200,559.00 = 84,102.39 : x
  2. Step 2: Convert to fraction form
    145,345.68/200,559.00 = 84,102.39/x
  3. Step 3: Cross multiply
    145,345.68x = 200,559.00 × 84,102.39
  4. Step 4: Simplify right side
    145,345.68x = 16,867,491,551.39
  5. Step 5: Solve for x
    x = 16,867,491,551.39/145,345.68
  6. Step 6: Final answer
    x = 116,050.86

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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.