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Finding the Fourth Proportional to 142,106.80, 212,879.40 and 92,221.60

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Solution

The fourth proportional to 142,106.80, 212,879.40 and 92,221.60 is: 138,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,106.80 : 212,879.40 = 92,221.60 : x
  2. Step 2: Convert to fraction form
    142,106.80/212,879.40 = 92,221.60/x
  3. Step 3: Cross multiply
    142,106.80x = 212,879.40 × 92,221.60
  4. Step 4: Simplify right side
    142,106.80x = 19,632,078,875.04
  5. Step 5: Solve for x
    x = 19,632,078,875.04/142,106.80
  6. Step 6: Final answer
    x = 138,150.17

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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.