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Finding the Fourth Proportional to 259,134.35, 357,617.58 and 151,738.98

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Solution

The fourth proportional to 259,134.35, 357,617.58 and 151,738.98 is: 209,406.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,134.35 : 357,617.58 = 151,738.98 : x
  2. Step 2: Convert to fraction form
    259,134.35/357,617.58 = 151,738.98/x
  3. Step 3: Cross multiply
    259,134.35x = 357,617.58 × 151,738.98
  4. Step 4: Simplify right side
    259,134.35x = 54,264,526,250.25
  5. Step 5: Solve for x
    x = 54,264,526,250.25/259,134.35
  6. Step 6: Final answer
    x = 209,406.92

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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.