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Finding the Fourth Proportional to 142,129.40, 213,194.10 and 118,974.20

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Solution

The fourth proportional to 142,129.40, 213,194.10 and 118,974.20 is: 178,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,129.40 : 213,194.10 = 118,974.20 : x
  2. Step 2: Convert to fraction form
    142,129.40/213,194.10 = 118,974.20/x
  3. Step 3: Cross multiply
    142,129.40x = 213,194.10 × 118,974.20
  4. Step 4: Simplify right side
    142,129.40x = 25,364,597,492.22
  5. Step 5: Solve for x
    x = 25,364,597,492.22/142,129.40
  6. Step 6: Final answer
    x = 178,461.30

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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.