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Finding the Fourth Proportional to 259,530.20, 358,151.10 and 146,352.16

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Solution

The fourth proportional to 259,530.20, 358,151.10 and 146,352.16 is: 201,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,530.20 : 358,151.10 = 146,352.16 : x
  2. Step 2: Convert to fraction form
    259,530.20/358,151.10 = 146,352.16/x
  3. Step 3: Cross multiply
    259,530.20x = 358,151.10 × 146,352.16
  4. Step 4: Simplify right side
    259,530.20x = 52,416,187,091.38
  5. Step 5: Solve for x
    x = 52,416,187,091.38/259,530.20
  6. Step 6: Final answer
    x = 201,965.66

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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.