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Finding the Fourth Proportional to 170,842.60, 256,409.70 and 76,218.40

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Solution

The fourth proportional to 170,842.60, 256,409.70 and 76,218.40 is: 114,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,842.60 : 256,409.70 = 76,218.40 : x
  2. Step 2: Convert to fraction form
    170,842.60/256,409.70 = 76,218.40/x
  3. Step 3: Cross multiply
    170,842.60x = 256,409.70 × 76,218.40
  4. Step 4: Simplify right side
    170,842.60x = 19,543,137,078.48
  5. Step 5: Solve for x
    x = 19,543,137,078.48/170,842.60
  6. Step 6: Final answer
    x = 114,392.65

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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.