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Finding the Fourth Proportional to 257,036.49, 354,715.07 and 143,858.97

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Solution

The fourth proportional to 257,036.49, 354,715.07 and 143,858.97 is: 198,528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.49 : 354,715.07 = 143,858.97 : x
  2. Step 2: Convert to fraction form
    257,036.49/354,715.07 = 143,858.97/x
  3. Step 3: Cross multiply
    257,036.49x = 354,715.07 × 143,858.97
  4. Step 4: Simplify right side
    257,036.49x = 51,028,943,894.38
  5. Step 5: Solve for x
    x = 51,028,943,894.38/257,036.49
  6. Step 6: Final answer
    x = 198,528.01

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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.