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Finding the Fourth Proportional to 293,762.50, 440,642.67 and 83,400.46

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Solution

The fourth proportional to 293,762.50, 440,642.67 and 83,400.46 is: 125,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,762.50 : 440,642.67 = 83,400.46 : x
  2. Step 2: Convert to fraction form
    293,762.50/440,642.67 = 83,400.46/x
  3. Step 3: Cross multiply
    293,762.50x = 440,642.67 × 83,400.46
  4. Step 4: Simplify right side
    293,762.50x = 36,749,801,373.63
  5. Step 5: Solve for x
    x = 36,749,801,373.63/293,762.50
  6. Step 6: Final answer
    x = 125,100.38

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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.