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Finding the Fourth Proportional to 211,152.87, 291,395.66 and 120,507.03

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Solution

The fourth proportional to 211,152.87, 291,395.66 and 120,507.03 is: 166,302.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,152.87 : 291,395.66 = 120,507.03 : x
  2. Step 2: Convert to fraction form
    211,152.87/291,395.66 = 120,507.03/x
  3. Step 3: Cross multiply
    211,152.87x = 291,395.66 × 120,507.03
  4. Step 4: Simplify right side
    211,152.87x = 35,115,224,938.95
  5. Step 5: Solve for x
    x = 35,115,224,938.95/211,152.87
  6. Step 6: Final answer
    x = 166,302.38

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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.