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Finding the Fourth Proportional to 228,495.01, 315,322.86 and 127,893.01

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Solution

The fourth proportional to 228,495.01, 315,322.86 and 127,893.01 is: 176,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,495.01 : 315,322.86 = 127,893.01 : x
  2. Step 2: Convert to fraction form
    228,495.01/315,322.86 = 127,893.01/x
  3. Step 3: Cross multiply
    228,495.01x = 315,322.86 × 127,893.01
  4. Step 4: Simplify right side
    228,495.01x = 40,327,589,687.21
  5. Step 5: Solve for x
    x = 40,327,589,687.21/228,495.01
  6. Step 6: Final answer
    x = 176,492.21

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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.