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Finding the Fourth Proportional to 200,726.67, 301,090.14 and 50,978.19

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Solution

The fourth proportional to 200,726.67, 301,090.14 and 50,978.19 is: 76,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.67 : 301,090.14 = 50,978.19 : x
  2. Step 2: Convert to fraction form
    200,726.67/301,090.14 = 50,978.19/x
  3. Step 3: Cross multiply
    200,726.67x = 301,090.14 × 50,978.19
  4. Step 4: Simplify right side
    200,726.67x = 15,349,030,364.05
  5. Step 5: Solve for x
    x = 15,349,030,364.05/200,726.67
  6. Step 6: Final answer
    x = 76,467.32

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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.