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Finding the Fourth Proportional to 315,085.76, 434,855.71 and 179,140.22

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Solution

The fourth proportional to 315,085.76, 434,855.71 and 179,140.22 is: 247,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,085.76 : 434,855.71 = 179,140.22 : x
  2. Step 2: Convert to fraction form
    315,085.76/434,855.71 = 179,140.22/x
  3. Step 3: Cross multiply
    315,085.76x = 434,855.71 × 179,140.22
  4. Step 4: Simplify right side
    315,085.76x = 77,900,145,383.38
  5. Step 5: Solve for x
    x = 77,900,145,383.38/315,085.76
  6. Step 6: Final answer
    x = 247,234.74

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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.