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Finding the Fourth Proportional to 102,009.96, 153,009 and 45,835.56

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Solution

The fourth proportional to 102,009.96, 153,009 and 45,835.56 is: 68,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,009.96 : 153,009 = 45,835.56 : x
  2. Step 2: Convert to fraction form
    102,009.96/153,009 = 45,835.56/x
  3. Step 3: Cross multiply
    102,009.96x = 153,009 × 45,835.56
  4. Step 4: Simplify right side
    102,009.96x = 7,013,253,200.04
  5. Step 5: Solve for x
    x = 7,013,253,200.04/102,009.96
  6. Step 6: Final answer
    x = 68,750.67

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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.