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Finding the Fourth Proportional to 200,780.82, 301,173.06 and 65,842.92

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Solution

The fourth proportional to 200,780.82, 301,173.06 and 65,842.92 is: 98,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,780.82 : 301,173.06 = 65,842.92 : x
  2. Step 2: Convert to fraction form
    200,780.82/301,173.06 = 65,842.92/x
  3. Step 3: Cross multiply
    200,780.82x = 301,173.06 × 65,842.92
  4. Step 4: Simplify right side
    200,780.82x = 19,830,113,695.74
  5. Step 5: Solve for x
    x = 19,830,113,695.74/200,780.82
  6. Step 6: Final answer
    x = 98,764.98

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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.