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Finding the Fourth Proportional to 142,130.30, 212,914.65 and 92,245.10

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Solution

The fourth proportional to 142,130.30, 212,914.65 and 92,245.10 is: 138,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,130.30 : 212,914.65 = 92,245.10 : x
  2. Step 2: Convert to fraction form
    142,130.30/212,914.65 = 92,245.10/x
  3. Step 3: Cross multiply
    142,130.30x = 212,914.65 × 92,245.10
  4. Step 4: Simplify right side
    142,130.30x = 19,640,333,180.72
  5. Step 5: Solve for x
    x = 19,640,333,180.72/142,130.30
  6. Step 6: Final answer
    x = 138,185.41

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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.