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Finding the Fourth Proportional to 184,951, 255,273.15 and 120,307.60

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Solution

The fourth proportional to 184,951, 255,273.15 and 120,307.60 is: 166,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,951 : 255,273.15 = 120,307.60 : x
  2. Step 2: Convert to fraction form
    184,951/255,273.15 = 120,307.60/x
  3. Step 3: Cross multiply
    184,951x = 255,273.15 × 120,307.60
  4. Step 4: Simplify right side
    184,951x = 30,711,300,020.94
  5. Step 5: Solve for x
    x = 30,711,300,020.94/184,951
  6. Step 6: Final answer
    x = 166,051.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.