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Finding the Fourth Proportional to 176,138.58, 264,222.12 and 49,779.86

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Solution

The fourth proportional to 176,138.58, 264,222.12 and 49,779.86 is: 74,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,138.58 : 264,222.12 = 49,779.86 : x
  2. Step 2: Convert to fraction form
    176,138.58/264,222.12 = 49,779.86/x
  3. Step 3: Cross multiply
    176,138.58x = 264,222.12 × 49,779.86
  4. Step 4: Simplify right side
    176,138.58x = 13,152,938,821.39
  5. Step 5: Solve for x
    x = 13,152,938,821.39/176,138.58
  6. Step 6: Final answer
    x = 74,673.81

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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.