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Finding the Fourth Proportional to 213,875.66, 295,141.77 and 123,231.80

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Solution

The fourth proportional to 213,875.66, 295,141.77 and 123,231.80 is: 170,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,875.66 : 295,141.77 = 123,231.80 : x
  2. Step 2: Convert to fraction form
    213,875.66/295,141.77 = 123,231.80/x
  3. Step 3: Cross multiply
    213,875.66x = 295,141.77 × 123,231.80
  4. Step 4: Simplify right side
    213,875.66x = 36,370,850,096.58
  5. Step 5: Solve for x
    x = 36,370,850,096.58/213,875.66
  6. Step 6: Final answer
    x = 170,056.05

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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.