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Finding the Fourth Proportional to 102,458.10, 141,392.96 and 57,139

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Solution

The fourth proportional to 102,458.10, 141,392.96 and 57,139 is: 78,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,458.10 : 141,392.96 = 57,139 : x
  2. Step 2: Convert to fraction form
    102,458.10/141,392.96 = 57,139/x
  3. Step 3: Cross multiply
    102,458.10x = 141,392.96 × 57,139
  4. Step 4: Simplify right side
    102,458.10x = 8,079,052,341.44
  5. Step 5: Solve for x
    x = 8,079,052,341.44/102,458.10
  6. Step 6: Final answer
    x = 78,852.26

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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.