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Finding the Fourth Proportional to 283,094.09, 424,594.81 and 83,367.83

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Solution

The fourth proportional to 283,094.09, 424,594.81 and 83,367.83 is: 125,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,094.09 : 424,594.81 = 83,367.83 : x
  2. Step 2: Convert to fraction form
    283,094.09/424,594.81 = 83,367.83/x
  3. Step 3: Cross multiply
    283,094.09x = 424,594.81 × 83,367.83
  4. Step 4: Simplify right side
    283,094.09x = 35,397,549,104.66
  5. Step 5: Solve for x
    x = 35,397,549,104.66/283,094.09
  6. Step 6: Final answer
    x = 125,038.11

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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.