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Finding the Fourth Proportional to 211,017.65, 291,232.06 and 120,352.84

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Solution

The fourth proportional to 211,017.65, 291,232.06 and 120,352.84 is: 166,102.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,017.65 : 291,232.06 = 120,352.84 : x
  2. Step 2: Convert to fraction form
    211,017.65/291,232.06 = 120,352.84/x
  3. Step 3: Cross multiply
    211,017.65x = 291,232.06 × 120,352.84
  4. Step 4: Simplify right side
    211,017.65x = 35,050,604,491.09
  5. Step 5: Solve for x
    x = 35,050,604,491.09/211,017.65
  6. Step 6: Final answer
    x = 166,102.72

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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.