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Finding the Fourth Proportional to 259,367.53, 357,929.91 and 146,190.28

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Solution

The fourth proportional to 259,367.53, 357,929.91 and 146,190.28 is: 201,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,367.53 : 357,929.91 = 146,190.28 : x
  2. Step 2: Convert to fraction form
    259,367.53/357,929.91 = 146,190.28/x
  3. Step 3: Cross multiply
    259,367.53x = 357,929.91 × 146,190.28
  4. Step 4: Simplify right side
    259,367.53x = 52,325,871,973.63
  5. Step 5: Solve for x
    x = 52,325,871,973.63/259,367.53
  6. Step 6: Final answer
    x = 201,744.12

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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.