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Finding the Fourth Proportional to 211,675.70, 292,111.44 and 116,184

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Solution

The fourth proportional to 211,675.70, 292,111.44 and 116,184 is: 160,333.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,675.70 : 292,111.44 = 116,184 : x
  2. Step 2: Convert to fraction form
    211,675.70/292,111.44 = 116,184/x
  3. Step 3: Cross multiply
    211,675.70x = 292,111.44 × 116,184
  4. Step 4: Simplify right side
    211,675.70x = 33,938,675,544.96
  5. Step 5: Solve for x
    x = 33,938,675,544.96/211,675.70
  6. Step 6: Final answer
    x = 160,333.36

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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.