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Finding the Fourth Proportional to 270,648.70, 405,973.05 and 122,904.70

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Solution

The fourth proportional to 270,648.70, 405,973.05 and 122,904.70 is: 184,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,648.70 : 405,973.05 = 122,904.70 : x
  2. Step 2: Convert to fraction form
    270,648.70/405,973.05 = 122,904.70/x
  3. Step 3: Cross multiply
    270,648.70x = 405,973.05 × 122,904.70
  4. Step 4: Simplify right side
    270,648.70x = 49,895,995,918.34
  5. Step 5: Solve for x
    x = 49,895,995,918.34/270,648.70
  6. Step 6: Final answer
    x = 184,357.05

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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.