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Finding the Fourth Proportional to 256,852.87, 354,437.70 and 143,653.75

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Solution

The fourth proportional to 256,852.87, 354,437.70 and 143,653.75 is: 198,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852.87 : 354,437.70 = 143,653.75 : x
  2. Step 2: Convert to fraction form
    256,852.87/354,437.70 = 143,653.75/x
  3. Step 3: Cross multiply
    256,852.87x = 354,437.70 × 143,653.75
  4. Step 4: Simplify right side
    256,852.87x = 50,916,304,746.38
  5. Step 5: Solve for x
    x = 50,916,304,746.38/256,852.87
  6. Step 6: Final answer
    x = 198,231.40

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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.