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Finding the Fourth Proportional to 176,157.90, 264,245.74 and 49,807.22

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Solution

The fourth proportional to 176,157.90, 264,245.74 and 49,807.22 is: 74,713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,157.90 : 264,245.74 = 49,807.22 : x
  2. Step 2: Convert to fraction form
    176,157.90/264,245.74 = 49,807.22/x
  3. Step 3: Cross multiply
    176,157.90x = 264,245.74 × 49,807.22
  4. Step 4: Simplify right side
    176,157.90x = 13,161,344,260.50
  5. Step 5: Solve for x
    x = 13,161,344,260.50/176,157.90
  6. Step 6: Final answer
    x = 74,713.34

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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.