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Finding the Fourth Proportional to 228,974.78, 316,004.66 and 127,033.08

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Solution

The fourth proportional to 228,974.78, 316,004.66 and 127,033.08 is: 175,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,974.78 : 316,004.66 = 127,033.08 : x
  2. Step 2: Convert to fraction form
    228,974.78/316,004.66 = 127,033.08/x
  3. Step 3: Cross multiply
    228,974.78x = 316,004.66 × 127,033.08
  4. Step 4: Simplify right side
    228,974.78x = 40,143,045,254.15
  5. Step 5: Solve for x
    x = 40,143,045,254.15/228,974.78
  6. Step 6: Final answer
    x = 175,316.45

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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.