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Finding the Fourth Proportional to 259,743.75, 358,442.88 and 145,024.16

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Solution

The fourth proportional to 259,743.75, 358,442.88 and 145,024.16 is: 200,131.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743.75 : 358,442.88 = 145,024.16 : x
  2. Step 2: Convert to fraction form
    259,743.75/358,442.88 = 145,024.16/x
  3. Step 3: Cross multiply
    259,743.75x = 358,442.88 × 145,024.16
  4. Step 4: Simplify right side
    259,743.75x = 51,982,875,787.77
  5. Step 5: Solve for x
    x = 51,982,875,787.77/259,743.75
  6. Step 6: Final answer
    x = 200,131.38

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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.