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Finding the Fourth Proportional to 211,029.50, 291,248.46 and 120,364.65

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Solution

The fourth proportional to 211,029.50, 291,248.46 and 120,364.65 is: 166,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,029.50 : 291,248.46 = 120,364.65 : x
  2. Step 2: Convert to fraction form
    211,029.50/291,248.46 = 120,364.65/x
  3. Step 3: Cross multiply
    211,029.50x = 291,248.46 × 120,364.65
  4. Step 4: Simplify right side
    211,029.50x = 35,056,018,950.94
  5. Step 5: Solve for x
    x = 35,056,018,950.94/211,029.50
  6. Step 6: Final answer
    x = 166,119.04

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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.