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Finding the Fourth Proportional to 259,563.84, 358,193.16 and 146,386.56

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Solution

The fourth proportional to 259,563.84, 358,193.16 and 146,386.56 is: 202,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,563.84 : 358,193.16 = 146,386.56 : x
  2. Step 2: Convert to fraction form
    259,563.84/358,193.16 = 146,386.56/x
  3. Step 3: Cross multiply
    259,563.84x = 358,193.16 × 146,386.56
  4. Step 4: Simplify right side
    259,563.84x = 52,434,664,507.93
  5. Step 5: Solve for x
    x = 52,434,664,507.93/259,563.84
  6. Step 6: Final answer
    x = 202,010.67

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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.