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Finding the Fourth Proportional to 260,502.31, 359,512.50 and 145,792.45

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Solution

The fourth proportional to 260,502.31, 359,512.50 and 145,792.45 is: 201,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,502.31 : 359,512.50 = 145,792.45 : x
  2. Step 2: Convert to fraction form
    260,502.31/359,512.50 = 145,792.45/x
  3. Step 3: Cross multiply
    260,502.31x = 359,512.50 × 145,792.45
  4. Step 4: Simplify right side
    260,502.31x = 52,414,208,180.63
  5. Step 5: Solve for x
    x = 52,414,208,180.63/260,502.31
  6. Step 6: Final answer
    x = 201,204.39

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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.