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Finding the Fourth Proportional to 122,911.65, 184,430.66 and 106,377.93

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Solution

The fourth proportional to 122,911.65, 184,430.66 and 106,377.93 is: 159,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,911.65 : 184,430.66 = 106,377.93 : x
  2. Step 2: Convert to fraction form
    122,911.65/184,430.66 = 106,377.93/x
  3. Step 3: Cross multiply
    122,911.65x = 184,430.66 × 106,377.93
  4. Step 4: Simplify right side
    122,911.65x = 19,619,351,307.44
  5. Step 5: Solve for x
    x = 19,619,351,307.44/122,911.65
  6. Step 6: Final answer
    x = 159,621.58

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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.