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Finding the Fourth Proportional to 259,098.54, 357,554.43 and 145,957.74

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Solution

The fourth proportional to 259,098.54, 357,554.43 and 145,957.74 is: 201,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,098.54 : 357,554.43 = 145,957.74 : x
  2. Step 2: Convert to fraction form
    259,098.54/357,554.43 = 145,957.74/x
  3. Step 3: Cross multiply
    259,098.54x = 357,554.43 × 145,957.74
  4. Step 4: Simplify right side
    259,098.54x = 52,187,836,529.79
  5. Step 5: Solve for x
    x = 52,187,836,529.79/259,098.54
  6. Step 6: Final answer
    x = 201,420.81

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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.