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Finding the Fourth Proportional to 211,709.60, 292,162.56 and 116,225

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Solution

The fourth proportional to 211,709.60, 292,162.56 and 116,225 is: 160,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,709.60 : 292,162.56 = 116,225 : x
  2. Step 2: Convert to fraction form
    211,709.60/292,162.56 = 116,225/x
  3. Step 3: Cross multiply
    211,709.60x = 292,162.56 × 116,225
  4. Step 4: Simplify right side
    211,709.60x = 33,956,593,536
  5. Step 5: Solve for x
    x = 33,956,593,536/211,709.60
  6. Step 6: Final answer
    x = 160,392.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.