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Finding the Fourth Proportional to 211,023.84, 291,201.84 and 115,512.24

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Solution

The fourth proportional to 211,023.84, 291,201.84 and 115,512.24 is: 159,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,023.84 : 291,201.84 = 115,512.24 : x
  2. Step 2: Convert to fraction form
    211,023.84/291,201.84 = 115,512.24/x
  3. Step 3: Cross multiply
    211,023.84x = 291,201.84 × 115,512.24
  4. Step 4: Simplify right side
    211,023.84x = 33,637,376,830.52
  5. Step 5: Solve for x
    x = 33,637,376,830.52/211,023.84
  6. Step 6: Final answer
    x = 159,400.84

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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.