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Finding the Fourth Proportional to 165,710.84, 228,608.22 and 111,976.28

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Solution

The fourth proportional to 165,710.84, 228,608.22 and 111,976.28 is: 154,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,710.84 : 228,608.22 = 111,976.28 : x
  2. Step 2: Convert to fraction form
    165,710.84/228,608.22 = 111,976.28/x
  3. Step 3: Cross multiply
    165,710.84x = 228,608.22 × 111,976.28
  4. Step 4: Simplify right side
    165,710.84x = 25,598,698,053.02
  5. Step 5: Solve for x
    x = 25,598,698,053.02/165,710.84
  6. Step 6: Final answer
    x = 154,478.11

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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.