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Finding the Fourth Proportional to 145,064.25, 200,189.39 and 84,676.77

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Solution

The fourth proportional to 145,064.25, 200,189.39 and 84,676.77 is: 116,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,064.25 : 200,189.39 = 84,676.77 : x
  2. Step 2: Convert to fraction form
    145,064.25/200,189.39 = 84,676.77/x
  3. Step 3: Cross multiply
    145,064.25x = 200,189.39 × 84,676.77
  4. Step 4: Simplify right side
    145,064.25x = 16,951,390,510.09
  5. Step 5: Solve for x
    x = 16,951,390,510.09/145,064.25
  6. Step 6: Final answer
    x = 116,854.36

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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.