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Finding the Fourth Proportional to 119,229, 178,925.54 and 49,108.34

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Solution

The fourth proportional to 119,229, 178,925.54 and 49,108.34 is: 73,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229 : 178,925.54 = 49,108.34 : x
  2. Step 2: Convert to fraction form
    119,229/178,925.54 = 49,108.34/x
  3. Step 3: Cross multiply
    119,229x = 178,925.54 × 49,108.34
  4. Step 4: Simplify right side
    119,229x = 8,786,735,112.83
  5. Step 5: Solve for x
    x = 8,786,735,112.83/119,229
  6. Step 6: Final answer
    x = 73,696.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.