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Finding the Fourth Proportional to 102,204.60, 153,314.54 and 27,323.02

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Solution

The fourth proportional to 102,204.60, 153,314.54 and 27,323.02 is: 40,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204.60 : 153,314.54 = 27,323.02 : x
  2. Step 2: Convert to fraction form
    102,204.60/153,314.54 = 27,323.02/x
  3. Step 3: Cross multiply
    102,204.60x = 153,314.54 × 27,323.02
  4. Step 4: Simplify right side
    102,204.60x = 4,189,016,242.71
  5. Step 5: Solve for x
    x = 4,189,016,242.71/102,204.60
  6. Step 6: Final answer
    x = 40,986.57

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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.