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Finding the Fourth Proportional to 211,178.88, 291,427.20 and 115,683.48

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Solution

The fourth proportional to 211,178.88, 291,427.20 and 115,683.48 is: 159,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,178.88 : 291,427.20 = 115,683.48 : x
  2. Step 2: Convert to fraction form
    211,178.88/291,427.20 = 115,683.48/x
  3. Step 3: Cross multiply
    211,178.88x = 291,427.20 × 115,683.48
  4. Step 4: Simplify right side
    211,178.88x = 33,713,312,662.66
  5. Step 5: Solve for x
    x = 33,713,312,662.66/211,178.88
  6. Step 6: Final answer
    x = 159,643.39

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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.