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Finding the Fourth Proportional to 259,541.70, 358,106.22 and 146,342.58

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Solution

The fourth proportional to 259,541.70, 358,106.22 and 146,342.58 is: 201,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,541.70 : 358,106.22 = 146,342.58 : x
  2. Step 2: Convert to fraction form
    259,541.70/358,106.22 = 146,342.58/x
  3. Step 3: Cross multiply
    259,541.70x = 358,106.22 × 146,342.58
  4. Step 4: Simplify right side
    259,541.70x = 52,406,188,148.85
  5. Step 5: Solve for x
    x = 52,406,188,148.85/259,541.70
  6. Step 6: Final answer
    x = 201,918.18

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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.