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Finding the Fourth Proportional to 200,802.48, 277,104.80 and 114,760.48

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Solution

The fourth proportional to 200,802.48, 277,104.80 and 114,760.48 is: 158,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.48 : 277,104.80 = 114,760.48 : x
  2. Step 2: Convert to fraction form
    200,802.48/277,104.80 = 114,760.48/x
  3. Step 3: Cross multiply
    200,802.48x = 277,104.80 × 114,760.48
  4. Step 4: Simplify right side
    200,802.48x = 31,800,679,858.30
  5. Step 5: Solve for x
    x = 31,800,679,858.30/200,802.48
  6. Step 6: Final answer
    x = 158,367.96

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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.