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Finding the Fourth Proportional to 235,883.30, 353,970.75 and 95,643.14

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Solution

The fourth proportional to 235,883.30, 353,970.75 and 95,643.14 is: 143,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,883.30 : 353,970.75 = 95,643.14 : x
  2. Step 2: Convert to fraction form
    235,883.30/353,970.75 = 95,643.14/x
  3. Step 3: Cross multiply
    235,883.30x = 353,970.75 × 95,643.14
  4. Step 4: Simplify right side
    235,883.30x = 33,854,873,998.16
  5. Step 5: Solve for x
    x = 33,854,873,998.16/235,883.30
  6. Step 6: Final answer
    x = 143,523.83

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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.