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Finding the Fourth Proportional to 211,142.52, 291,376.72 and 115,652.64

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Solution

The fourth proportional to 211,142.52, 291,376.72 and 115,652.64 is: 159,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,142.52 : 291,376.72 = 115,652.64 : x
  2. Step 2: Convert to fraction form
    211,142.52/291,376.72 = 115,652.64/x
  3. Step 3: Cross multiply
    211,142.52x = 291,376.72 × 115,652.64
  4. Step 4: Simplify right side
    211,142.52x = 33,698,486,902.54
  5. Step 5: Solve for x
    x = 33,698,486,902.54/211,142.52
  6. Step 6: Final answer
    x = 159,600.67

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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.