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Finding the Fourth Proportional to 102,516.16, 141,472.32 and 57,804.16

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Solution

The fourth proportional to 102,516.16, 141,472.32 and 57,804.16 is: 79,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516.16 : 141,472.32 = 57,804.16 : x
  2. Step 2: Convert to fraction form
    102,516.16/141,472.32 = 57,804.16/x
  3. Step 3: Cross multiply
    102,516.16x = 141,472.32 × 57,804.16
  4. Step 4: Simplify right side
    102,516.16x = 8,177,688,620.85
  5. Step 5: Solve for x
    x = 8,177,688,620.85/102,516.16
  6. Step 6: Final answer
    x = 79,769.75

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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.