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Finding the Fourth Proportional to 147,771.96, 203,935.68 and 84,109.77

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Solution

The fourth proportional to 147,771.96, 203,935.68 and 84,109.77 is: 116,077.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,771.96 : 203,935.68 = 84,109.77 : x
  2. Step 2: Convert to fraction form
    147,771.96/203,935.68 = 84,109.77/x
  3. Step 3: Cross multiply
    147,771.96x = 203,935.68 × 84,109.77
  4. Step 4: Simplify right side
    147,771.96x = 17,152,983,139.59
  5. Step 5: Solve for x
    x = 17,152,983,139.59/147,771.96
  6. Step 6: Final answer
    x = 116,077.39

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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.