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Finding the Fourth Proportional to 102,214.60, 141,055.94 and 57,502.60

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Solution

The fourth proportional to 102,214.60, 141,055.94 and 57,502.60 is: 79,353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,214.60 : 141,055.94 = 57,502.60 : x
  2. Step 2: Convert to fraction form
    102,214.60/141,055.94 = 57,502.60/x
  3. Step 3: Cross multiply
    102,214.60x = 141,055.94 × 57,502.60
  4. Step 4: Simplify right side
    102,214.60x = 8,111,083,295.44
  5. Step 5: Solve for x
    x = 8,111,083,295.44/102,214.60
  6. Step 6: Final answer
    x = 79,353.47

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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.