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Finding the Fourth Proportional to 229,894.88, 317,234.40 and 127,916.96

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Solution

The fourth proportional to 229,894.88, 317,234.40 and 127,916.96 is: 176,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,894.88 : 317,234.40 = 127,916.96 : x
  2. Step 2: Convert to fraction form
    229,894.88/317,234.40 = 127,916.96/x
  3. Step 3: Cross multiply
    229,894.88x = 317,234.40 × 127,916.96
  4. Step 4: Simplify right side
    229,894.88x = 40,579,660,055.42
  5. Step 5: Solve for x
    x = 40,579,660,055.42/229,894.88
  6. Step 6: Final answer
    x = 176,513.98

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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.