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Finding the Fourth Proportional to 259,507.44, 358,120.92 and 146,332.08

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Solution

The fourth proportional to 259,507.44, 358,120.92 and 146,332.08 is: 201,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,507.44 : 358,120.92 = 146,332.08 : x
  2. Step 2: Convert to fraction form
    259,507.44/358,120.92 = 146,332.08/x
  3. Step 3: Cross multiply
    259,507.44x = 358,120.92 × 146,332.08
  4. Step 4: Simplify right side
    259,507.44x = 52,404,579,115.11
  5. Step 5: Solve for x
    x = 52,404,579,115.11/259,507.44
  6. Step 6: Final answer
    x = 201,938.64

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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.