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Finding the Fourth Proportional to 258,955.34, 357,392.44 and 145,800.14

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Solution

The fourth proportional to 258,955.34, 357,392.44 and 145,800.14 is: 201,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,955.34 : 357,392.44 = 145,800.14 : x
  2. Step 2: Convert to fraction form
    258,955.34/357,392.44 = 145,800.14/x
  3. Step 3: Cross multiply
    258,955.34x = 357,392.44 × 145,800.14
  4. Step 4: Simplify right side
    258,955.34x = 52,107,867,786.94
  5. Step 5: Solve for x
    x = 52,107,867,786.94/258,955.34
  6. Step 6: Final answer
    x = 201,223.38

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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.