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Finding the Fourth Proportional to 228,142.92, 314,837.96 and 127,540.92

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Solution

The fourth proportional to 228,142.92, 314,837.96 and 127,540.92 is: 176,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,142.92 : 314,837.96 = 127,540.92 : x
  2. Step 2: Convert to fraction form
    228,142.92/314,837.96 = 127,540.92/x
  3. Step 3: Cross multiply
    228,142.92x = 314,837.96 × 127,540.92
  4. Step 4: Simplify right side
    228,142.92x = 40,154,723,069.32
  5. Step 5: Solve for x
    x = 40,154,723,069.32/228,142.92
  6. Step 6: Final answer
    x = 176,006.88

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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.