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Finding the Fourth Proportional to 102,091.28, 153,037.08 and 45,945.50

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Solution

The fourth proportional to 102,091.28, 153,037.08 and 45,945.50 is: 68,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,091.28 : 153,037.08 = 45,945.50 : x
  2. Step 2: Convert to fraction form
    102,091.28/153,037.08 = 45,945.50/x
  3. Step 3: Cross multiply
    102,091.28x = 153,037.08 × 45,945.50
  4. Step 4: Simplify right side
    102,091.28x = 7,031,364,393.95
  5. Step 5: Solve for x
    x = 7,031,364,393.95/102,091.28
  6. Step 6: Final answer
    x = 68,873.31

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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.