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Finding the Fourth Proportional to 102,004.70, 153,007.05 and 90,632.30

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Solution

The fourth proportional to 102,004.70, 153,007.05 and 90,632.30 is: 135,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,004.70 : 153,007.05 = 90,632.30 : x
  2. Step 2: Convert to fraction form
    102,004.70/153,007.05 = 90,632.30/x
  3. Step 3: Cross multiply
    102,004.70x = 153,007.05 × 90,632.30
  4. Step 4: Simplify right side
    102,004.70x = 13,867,380,857.72
  5. Step 5: Solve for x
    x = 13,867,380,857.72/102,004.70
  6. Step 6: Final answer
    x = 135,948.45

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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.