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Finding the Fourth Proportional to 307,641.65, 461,494.67 and 83,003.94

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Solution

The fourth proportional to 307,641.65, 461,494.67 and 83,003.94 is: 124,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,641.65 : 461,494.67 = 83,003.94 : x
  2. Step 2: Convert to fraction form
    307,641.65/461,494.67 = 83,003.94/x
  3. Step 3: Cross multiply
    307,641.65x = 461,494.67 × 83,003.94
  4. Step 4: Simplify right side
    307,641.65x = 38,305,875,483.98
  5. Step 5: Solve for x
    x = 38,305,875,483.98/307,641.65
  6. Step 6: Final answer
    x = 124,514.60

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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.