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Finding the Fourth Proportional to 200,759.51, 301,513.68 and 176,752.33

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Solution

The fourth proportional to 200,759.51, 301,513.68 and 176,752.33 is: 265,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,759.51 : 301,513.68 = 176,752.33 : x
  2. Step 2: Convert to fraction form
    200,759.51/301,513.68 = 176,752.33/x
  3. Step 3: Cross multiply
    200,759.51x = 301,513.68 × 176,752.33
  4. Step 4: Simplify right side
    200,759.51x = 53,293,245,466.87
  5. Step 5: Solve for x
    x = 53,293,245,466.87/200,759.51
  6. Step 6: Final answer
    x = 265,458.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.