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Finding the Fourth Proportional to 176,176.44, 264,231.78 and 81,402.90

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Solution

The fourth proportional to 176,176.44, 264,231.78 and 81,402.90 is: 122,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,176.44 : 264,231.78 = 81,402.90 : x
  2. Step 2: Convert to fraction form
    176,176.44/264,231.78 = 81,402.90/x
  3. Step 3: Cross multiply
    176,176.44x = 264,231.78 × 81,402.90
  4. Step 4: Simplify right side
    176,176.44x = 21,509,233,164.16
  5. Step 5: Solve for x
    x = 21,509,233,164.16/176,176.44
  6. Step 6: Final answer
    x = 122,089.16

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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.