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Finding the Fourth Proportional to 211,029.30, 291,228.30 and 120,400.02

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Solution

The fourth proportional to 211,029.30, 291,228.30 and 120,400.02 is: 166,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,029.30 : 291,228.30 = 120,400.02 : x
  2. Step 2: Convert to fraction form
    211,029.30/291,228.30 = 120,400.02/x
  3. Step 3: Cross multiply
    211,029.30x = 291,228.30 × 120,400.02
  4. Step 4: Simplify right side
    211,029.30x = 35,063,893,144.57
  5. Step 5: Solve for x
    x = 35,063,893,144.57/211,029.30
  6. Step 6: Final answer
    x = 166,156.52

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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.