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Finding the Fourth Proportional to 150,272, 207,375.36 and 83,208.32

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Solution

The fourth proportional to 150,272, 207,375.36 and 83,208.32 is: 114,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,272 : 207,375.36 = 83,208.32 : x
  2. Step 2: Convert to fraction form
    150,272/207,375.36 = 83,208.32/x
  3. Step 3: Cross multiply
    150,272x = 207,375.36 × 83,208.32
  4. Step 4: Simplify right side
    150,272x = 17,255,355,315.00
  5. Step 5: Solve for x
    x = 17,255,355,315.00/150,272
  6. Step 6: Final answer
    x = 114,827.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.