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Finding the Fourth Proportional to 211,378.84, 291,686.61 and 120,722.29

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Solution

The fourth proportional to 211,378.84, 291,686.61 and 120,722.29 is: 166,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,378.84 : 291,686.61 = 120,722.29 : x
  2. Step 2: Convert to fraction form
    211,378.84/291,686.61 = 120,722.29/x
  3. Step 3: Cross multiply
    211,378.84x = 291,686.61 × 120,722.29
  4. Step 4: Simplify right side
    211,378.84x = 35,213,075,521.54
  5. Step 5: Solve for x
    x = 35,213,075,521.54/211,378.84
  6. Step 6: Final answer
    x = 166,587.51

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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.