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Finding the Fourth Proportional to 111,855.12, 167,782.50 and 76,688.16

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Solution

The fourth proportional to 111,855.12, 167,782.50 and 76,688.16 is: 115,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,855.12 : 167,782.50 = 76,688.16 : x
  2. Step 2: Convert to fraction form
    111,855.12/167,782.50 = 76,688.16/x
  3. Step 3: Cross multiply
    111,855.12x = 167,782.50 × 76,688.16
  4. Step 4: Simplify right side
    111,855.12x = 12,866,931,205.20
  5. Step 5: Solve for x
    x = 12,866,931,205.20/111,855.12
  6. Step 6: Final answer
    x = 115,032.12

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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.