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Finding the Fourth Proportional to 180,629.30, 271,203.15 and 101,897.30

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Solution

The fourth proportional to 180,629.30, 271,203.15 and 101,897.30 is: 152,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,629.30 : 271,203.15 = 101,897.30 : x
  2. Step 2: Convert to fraction form
    180,629.30/271,203.15 = 101,897.30/x
  3. Step 3: Cross multiply
    180,629.30x = 271,203.15 × 101,897.30
  4. Step 4: Simplify right side
    180,629.30x = 27,634,868,736.50
  5. Step 5: Solve for x
    x = 27,634,868,736.50/180,629.30
  6. Step 6: Final answer
    x = 152,992.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.