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Finding the Fourth Proportional to 111,830.94, 167,746.41 and 76,663.98

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Solution

The fourth proportional to 111,830.94, 167,746.41 and 76,663.98 is: 114,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,830.94 : 167,746.41 = 76,663.98 : x
  2. Step 2: Convert to fraction form
    111,830.94/167,746.41 = 76,663.98/x
  3. Step 3: Cross multiply
    111,830.94x = 167,746.41 × 76,663.98
  4. Step 4: Simplify right side
    111,830.94x = 12,860,107,421.31
  5. Step 5: Solve for x
    x = 12,860,107,421.31/111,830.94
  6. Step 6: Final answer
    x = 114,995.97

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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.