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Finding the Fourth Proportional to 312,142.70, 430,758.39 and 176,182.38

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Solution

The fourth proportional to 312,142.70, 430,758.39 and 176,182.38 is: 243,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,142.70 : 430,758.39 = 176,182.38 : x
  2. Step 2: Convert to fraction form
    312,142.70/430,758.39 = 176,182.38/x
  3. Step 3: Cross multiply
    312,142.70x = 430,758.39 × 176,182.38
  4. Step 4: Simplify right side
    312,142.70x = 75,892,038,355.17
  5. Step 5: Solve for x
    x = 75,892,038,355.17/312,142.70
  6. Step 6: Final answer
    x = 243,132.51

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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.