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Finding the Fourth Proportional to 259,594.38, 358,244.91 and 152,241.84

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Solution

The fourth proportional to 259,594.38, 358,244.91 and 152,241.84 is: 210,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,594.38 : 358,244.91 = 152,241.84 : x
  2. Step 2: Convert to fraction form
    259,594.38/358,244.91 = 152,241.84/x
  3. Step 3: Cross multiply
    259,594.38x = 358,244.91 × 152,241.84
  4. Step 4: Simplify right side
    259,594.38x = 54,539,864,269.03
  5. Step 5: Solve for x
    x = 54,539,864,269.03/259,594.38
  6. Step 6: Final answer
    x = 210,096.48

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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.