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Finding the Fourth Proportional to 135,201.70, 202,802.55 and 117,705.70

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Solution

The fourth proportional to 135,201.70, 202,802.55 and 117,705.70 is: 176,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,201.70 : 202,802.55 = 117,705.70 : x
  2. Step 2: Convert to fraction form
    135,201.70/202,802.55 = 117,705.70/x
  3. Step 3: Cross multiply
    135,201.70x = 202,802.55 × 117,705.70
  4. Step 4: Simplify right side
    135,201.70x = 23,871,016,109.54
  5. Step 5: Solve for x
    x = 23,871,016,109.54/135,201.70
  6. Step 6: Final answer
    x = 176,558.55

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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.