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Finding the Fourth Proportional to 165,802.30, 248,703.45 and 136,277.80

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Solution

The fourth proportional to 165,802.30, 248,703.45 and 136,277.80 is: 204,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,802.30 : 248,703.45 = 136,277.80 : x
  2. Step 2: Convert to fraction form
    165,802.30/248,703.45 = 136,277.80/x
  3. Step 3: Cross multiply
    165,802.30x = 248,703.45 × 136,277.80
  4. Step 4: Simplify right side
    165,802.30x = 33,892,759,018.41
  5. Step 5: Solve for x
    x = 33,892,759,018.41/165,802.30
  6. Step 6: Final answer
    x = 204,416.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.