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Finding the Fourth Proportional to 269,707.14, 404,435.57 and 157,419.68

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Solution

The fourth proportional to 269,707.14, 404,435.57 and 157,419.68 is: 236,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,707.14 : 404,435.57 = 157,419.68 : x
  2. Step 2: Convert to fraction form
    269,707.14/404,435.57 = 157,419.68/x
  3. Step 3: Cross multiply
    269,707.14x = 404,435.57 × 157,419.68
  4. Step 4: Simplify right side
    269,707.14x = 63,666,115,200.74
  5. Step 5: Solve for x
    x = 63,666,115,200.74/269,707.14
  6. Step 6: Final answer
    x = 236,056.47

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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.