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Finding the Fourth Proportional to 151,050, 208,449 and 83,068.20

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Solution

The fourth proportional to 151,050, 208,449 and 83,068.20 is: 114,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,050 : 208,449 = 83,068.20 : x
  2. Step 2: Convert to fraction form
    151,050/208,449 = 83,068.20/x
  3. Step 3: Cross multiply
    151,050x = 208,449 × 83,068.20
  4. Step 4: Simplify right side
    151,050x = 17,315,483,221.80
  5. Step 5: Solve for x
    x = 17,315,483,221.80/151,050
  6. Step 6: Final answer
    x = 114,634.12

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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.