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Finding the Fourth Proportional to 165,963.60, 248,289.30 and 144,020.70

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Solution

The fourth proportional to 165,963.60, 248,289.30 and 144,020.70 is: 215,461.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,963.60 : 248,289.30 = 144,020.70 : x
  2. Step 2: Convert to fraction form
    165,963.60/248,289.30 = 144,020.70/x
  3. Step 3: Cross multiply
    165,963.60x = 248,289.30 × 144,020.70
  4. Step 4: Simplify right side
    165,963.60x = 35,758,798,788.51
  5. Step 5: Solve for x
    x = 35,758,798,788.51/165,963.60
  6. Step 6: Final answer
    x = 215,461.70

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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.