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Finding the Fourth Proportional to 102,527.16, 141,487.50 and 57,815.16

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Solution

The fourth proportional to 102,527.16, 141,487.50 and 57,815.16 is: 79,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,527.16 : 141,487.50 = 57,815.16 : x
  2. Step 2: Convert to fraction form
    102,527.16/141,487.50 = 57,815.16/x
  3. Step 3: Cross multiply
    102,527.16x = 141,487.50 × 57,815.16
  4. Step 4: Simplify right side
    102,527.16x = 8,180,122,450.50
  5. Step 5: Solve for x
    x = 8,180,122,450.50/102,527.16
  6. Step 6: Final answer
    x = 79,784.93

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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.