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Finding the Fourth Proportional to 149,680.30, 206,594.29 and 86,055.06

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Solution

The fourth proportional to 149,680.30, 206,594.29 and 86,055.06 is: 118,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,680.30 : 206,594.29 = 86,055.06 : x
  2. Step 2: Convert to fraction form
    149,680.30/206,594.29 = 86,055.06/x
  3. Step 3: Cross multiply
    149,680.30x = 206,594.29 × 86,055.06
  4. Step 4: Simplify right side
    149,680.30x = 17,778,484,021.61
  5. Step 5: Solve for x
    x = 17,778,484,021.61/149,680.30
  6. Step 6: Final answer
    x = 118,776.38

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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.