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Finding the Fourth Proportional to 228,114.30, 314,786.07 and 127,512.30

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Solution

The fourth proportional to 228,114.30, 314,786.07 and 127,512.30 is: 175,960.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,114.30 : 314,786.07 = 127,512.30 : x
  2. Step 2: Convert to fraction form
    228,114.30/314,786.07 = 127,512.30/x
  3. Step 3: Cross multiply
    228,114.30x = 314,786.07 × 127,512.30
  4. Step 4: Simplify right side
    228,114.30x = 40,139,095,793.66
  5. Step 5: Solve for x
    x = 40,139,095,793.66/228,114.30
  6. Step 6: Final answer
    x = 175,960.45

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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.