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Finding the Fourth Proportional to 102,564.90, 153,912.15 and 60,444.90

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Solution

The fourth proportional to 102,564.90, 153,912.15 and 60,444.90 is: 90,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.90 : 153,912.15 = 60,444.90 : x
  2. Step 2: Convert to fraction form
    102,564.90/153,912.15 = 60,444.90/x
  3. Step 3: Cross multiply
    102,564.90x = 153,912.15 × 60,444.90
  4. Step 4: Simplify right side
    102,564.90x = 9,303,204,515.54
  5. Step 5: Solve for x
    x = 9,303,204,515.54/102,564.90
  6. Step 6: Final answer
    x = 90,705.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.