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Finding the Fourth Proportional to 253,973.31, 350,483.66 and 140,796.06

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Solution

The fourth proportional to 253,973.31, 350,483.66 and 140,796.06 is: 194,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,973.31 : 350,483.66 = 140,796.06 : x
  2. Step 2: Convert to fraction form
    253,973.31/350,483.66 = 140,796.06/x
  3. Step 3: Cross multiply
    253,973.31x = 350,483.66 × 140,796.06
  4. Step 4: Simplify right side
    253,973.31x = 49,346,718,422.38
  5. Step 5: Solve for x
    x = 49,346,718,422.38/253,973.31
  6. Step 6: Final answer
    x = 194,298.84

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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.