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Finding the Fourth Proportional to 456,763.01, 685,144.52 and 141,212.93

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Solution

The fourth proportional to 456,763.01, 685,144.52 and 141,212.93 is: 211,819.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,763.01 : 685,144.52 = 141,212.93 : x
  2. Step 2: Convert to fraction form
    456,763.01/685,144.52 = 141,212.93/x
  3. Step 3: Cross multiply
    456,763.01x = 685,144.52 × 141,212.93
  4. Step 4: Simplify right side
    456,763.01x = 96,751,265,142.64
  5. Step 5: Solve for x
    x = 96,751,265,142.64/456,763.01
  6. Step 6: Final answer
    x = 211,819.40

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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.