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Finding the Fourth Proportional to 211,232.22, 291,495.92 and 115,736.86

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Solution

The fourth proportional to 211,232.22, 291,495.92 and 115,736.86 is: 159,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232.22 : 291,495.92 = 115,736.86 : x
  2. Step 2: Convert to fraction form
    211,232.22/291,495.92 = 115,736.86/x
  3. Step 3: Cross multiply
    211,232.22x = 291,495.92 × 115,736.86
  4. Step 4: Simplify right side
    211,232.22x = 33,736,822,483.61
  5. Step 5: Solve for x
    x = 33,736,822,483.61/211,232.22
  6. Step 6: Final answer
    x = 159,714.38

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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.