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Finding the Fourth Proportional to 165,959.70, 229,044.96 and 101,415.66

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Solution

The fourth proportional to 165,959.70, 229,044.96 and 101,415.66 is: 139,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,959.70 : 229,044.96 = 101,415.66 : x
  2. Step 2: Convert to fraction form
    165,959.70/229,044.96 = 101,415.66/x
  3. Step 3: Cross multiply
    165,959.70x = 229,044.96 × 101,415.66
  4. Step 4: Simplify right side
    165,959.70x = 23,228,745,788.07
  5. Step 5: Solve for x
    x = 23,228,745,788.07/165,959.70
  6. Step 6: Final answer
    x = 139,966.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.