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Finding the Fourth Proportional to 228,994.24, 316,009.96 and 127,019.90

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Solution

The fourth proportional to 228,994.24, 316,009.96 and 127,019.90 is: 175,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,994.24 : 316,009.96 = 127,019.90 : x
  2. Step 2: Convert to fraction form
    228,994.24/316,009.96 = 127,019.90/x
  3. Step 3: Cross multiply
    228,994.24x = 316,009.96 × 127,019.90
  4. Step 4: Simplify right side
    228,994.24x = 40,139,552,213.12
  5. Step 5: Solve for x
    x = 40,139,552,213.12/228,994.24
  6. Step 6: Final answer
    x = 175,286.30

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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.