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Finding the Fourth Proportional to 312,886.67, 469,122.64 and 113,180.76

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Solution

The fourth proportional to 312,886.67, 469,122.64 and 113,180.76 is: 169,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,886.67 : 469,122.64 = 113,180.76 : x
  2. Step 2: Convert to fraction form
    312,886.67/469,122.64 = 113,180.76/x
  3. Step 3: Cross multiply
    312,886.67x = 469,122.64 × 113,180.76
  4. Step 4: Simplify right side
    312,886.67x = 53,095,656,645.45
  5. Step 5: Solve for x
    x = 53,095,656,645.45/312,886.67
  6. Step 6: Final answer
    x = 169,696.13

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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.