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Finding the Fourth Proportional to 312,068.52, 430,665.54 and 176,094.54

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Solution

The fourth proportional to 312,068.52, 430,665.54 and 176,094.54 is: 243,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,068.52 : 430,665.54 = 176,094.54 : x
  2. Step 2: Convert to fraction form
    312,068.52/430,665.54 = 176,094.54/x
  3. Step 3: Cross multiply
    312,068.52x = 430,665.54 × 176,094.54
  4. Step 4: Simplify right side
    312,068.52x = 75,837,850,160.15
  5. Step 5: Solve for x
    x = 75,837,850,160.15/312,068.52
  6. Step 6: Final answer
    x = 243,016.66

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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.