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Finding the Fourth Proportional to 307,820.90, 461,712.89 and 94,590.83

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Solution

The fourth proportional to 307,820.90, 461,712.89 and 94,590.83 is: 141,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,820.90 : 461,712.89 = 94,590.83 : x
  2. Step 2: Convert to fraction form
    307,820.90/461,712.89 = 94,590.83/x
  3. Step 3: Cross multiply
    307,820.90x = 461,712.89 × 94,590.83
  4. Step 4: Simplify right side
    307,820.90x = 43,673,802,705.28
  5. Step 5: Solve for x
    x = 43,673,802,705.28/307,820.90
  6. Step 6: Final answer
    x = 141,880.57

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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.