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Finding the Fourth Proportional to 259,178.56, 357,664.82 and 146,037.76

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Solution

The fourth proportional to 259,178.56, 357,664.82 and 146,037.76 is: 201,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,178.56 : 357,664.82 = 146,037.76 : x
  2. Step 2: Convert to fraction form
    259,178.56/357,664.82 = 146,037.76/x
  3. Step 3: Cross multiply
    259,178.56x = 357,664.82 × 146,037.76
  4. Step 4: Simplify right side
    259,178.56x = 52,232,569,143.60
  5. Step 5: Solve for x
    x = 52,232,569,143.60/259,178.56
  6. Step 6: Final answer
    x = 201,531.21

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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.