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Finding the Fourth Proportional to 102,206.51, 153,309.81 and 45,980.96

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Solution

The fourth proportional to 102,206.51, 153,309.81 and 45,980.96 is: 68,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,206.51 : 153,309.81 = 45,980.96 : x
  2. Step 2: Convert to fraction form
    102,206.51/153,309.81 = 45,980.96/x
  3. Step 3: Cross multiply
    102,206.51x = 153,309.81 × 45,980.96
  4. Step 4: Simplify right side
    102,206.51x = 7,049,332,241.22
  5. Step 5: Solve for x
    x = 7,049,332,241.22/102,206.51
  6. Step 6: Final answer
    x = 68,971.46

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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.