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Finding the Fourth Proportional to 111,429.60, 167,292.72 and 64,716

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Solution

The fourth proportional to 111,429.60, 167,292.72 and 64,716 is: 97,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,429.60 : 167,292.72 = 64,716 : x
  2. Step 2: Convert to fraction form
    111,429.60/167,292.72 = 64,716/x
  3. Step 3: Cross multiply
    111,429.60x = 167,292.72 × 64,716
  4. Step 4: Simplify right side
    111,429.60x = 10,826,515,667.52
  5. Step 5: Solve for x
    x = 10,826,515,667.52/111,429.60
  6. Step 6: Final answer
    x = 97,160.14

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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.