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Finding the Fourth Proportional to 153,203.44, 229,842.07 and 48,022.41

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Solution

The fourth proportional to 153,203.44, 229,842.07 and 48,022.41 is: 72,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,203.44 : 229,842.07 = 48,022.41 : x
  2. Step 2: Convert to fraction form
    153,203.44/229,842.07 = 48,022.41/x
  3. Step 3: Cross multiply
    153,203.44x = 229,842.07 × 48,022.41
  4. Step 4: Simplify right side
    153,203.44x = 11,037,570,120.79
  5. Step 5: Solve for x
    x = 11,037,570,120.79/153,203.44
  6. Step 6: Final answer
    x = 72,045.18

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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.