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Finding the Fourth Proportional to 211,592.34, 291,951.81 and 122,116.50

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Solution

The fourth proportional to 211,592.34, 291,951.81 and 122,116.50 is: 168,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,592.34 : 291,951.81 = 122,116.50 : x
  2. Step 2: Convert to fraction form
    211,592.34/291,951.81 = 122,116.50/x
  3. Step 3: Cross multiply
    211,592.34x = 291,951.81 × 122,116.50
  4. Step 4: Simplify right side
    211,592.34x = 35,652,133,205.87
  5. Step 5: Solve for x
    x = 35,652,133,205.87/211,592.34
  6. Step 6: Final answer
    x = 168,494.44

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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.