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Finding the Fourth Proportional to 228,116.25, 314,800.43 and 127,514.25

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Solution

The fourth proportional to 228,116.25, 314,800.43 and 127,514.25 is: 175,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,116.25 : 314,800.43 = 127,514.25 : x
  2. Step 2: Convert to fraction form
    228,116.25/314,800.43 = 127,514.25/x
  3. Step 3: Cross multiply
    228,116.25x = 314,800.43 × 127,514.25
  4. Step 4: Simplify right side
    228,116.25x = 40,141,540,093.56
  5. Step 5: Solve for x
    x = 40,141,540,093.56/228,116.25
  6. Step 6: Final answer
    x = 175,969.67

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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.