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Finding the Fourth Proportional to 100,466.32, 150,699.36 and 93,823.36

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Solution

The fourth proportional to 100,466.32, 150,699.36 and 93,823.36 is: 140,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.32 : 150,699.36 = 93,823.36 : x
  2. Step 2: Convert to fraction form
    100,466.32/150,699.36 = 93,823.36/x
  3. Step 3: Cross multiply
    100,466.32x = 150,699.36 × 93,823.36
  4. Step 4: Simplify right side
    100,466.32x = 14,139,120,305.05
  5. Step 5: Solve for x
    x = 14,139,120,305.05/100,466.32
  6. Step 6: Final answer
    x = 140,734.93

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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.