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Finding the Fourth Proportional to 186,067.23, 256,830.35 and 138,385.16

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Solution

The fourth proportional to 186,067.23, 256,830.35 and 138,385.16 is: 191,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,067.23 : 256,830.35 = 138,385.16 : x
  2. Step 2: Convert to fraction form
    186,067.23/256,830.35 = 138,385.16/x
  3. Step 3: Cross multiply
    186,067.23x = 256,830.35 × 138,385.16
  4. Step 4: Simplify right side
    186,067.23x = 35,541,508,064.64
  5. Step 5: Solve for x
    x = 35,541,508,064.64/186,067.23
  6. Step 6: Final answer
    x = 191,014.34

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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.