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Finding the Fourth Proportional to 312,085.64, 430,677.96 and 176,148.20

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Solution

The fourth proportional to 312,085.64, 430,677.96 and 176,148.20 is: 243,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,085.64 : 430,677.96 = 176,148.20 : x
  2. Step 2: Convert to fraction form
    312,085.64/430,677.96 = 176,148.20/x
  3. Step 3: Cross multiply
    312,085.64x = 430,677.96 × 176,148.20
  4. Step 4: Simplify right side
    312,085.64x = 75,863,147,433.67
  5. Step 5: Solve for x
    x = 75,863,147,433.67/312,085.64
  6. Step 6: Final answer
    x = 243,084.39

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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.