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Finding the Fourth Proportional to 260,724.66, 359,830.31 and 158,809.78

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Solution

The fourth proportional to 260,724.66, 359,830.31 and 158,809.78 is: 219,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,724.66 : 359,830.31 = 158,809.78 : x
  2. Step 2: Convert to fraction form
    260,724.66/359,830.31 = 158,809.78/x
  3. Step 3: Cross multiply
    260,724.66x = 359,830.31 × 158,809.78
  4. Step 4: Simplify right side
    260,724.66x = 57,144,572,368.43
  5. Step 5: Solve for x
    x = 57,144,572,368.43/260,724.66
  6. Step 6: Final answer
    x = 219,175.94

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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.