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Finding the Fourth Proportional to 269,716.16, 404,449.04 and 157,428.80

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Solution

The fourth proportional to 269,716.16, 404,449.04 and 157,428.80 is: 236,070.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,716.16 : 404,449.04 = 157,428.80 : x
  2. Step 2: Convert to fraction form
    269,716.16/404,449.04 = 157,428.80/x
  3. Step 3: Cross multiply
    269,716.16x = 404,449.04 × 157,428.80
  4. Step 4: Simplify right side
    269,716.16x = 63,671,927,028.35
  5. Step 5: Solve for x
    x = 63,671,927,028.35/269,716.16
  6. Step 6: Final answer
    x = 236,070.12

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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.