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Finding the Fourth Proportional to 312,068.74, 467,822.11 and 112,248.67

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Solution

The fourth proportional to 312,068.74, 467,822.11 and 112,248.67 is: 168,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,068.74 : 467,822.11 = 112,248.67 : x
  2. Step 2: Convert to fraction form
    312,068.74/467,822.11 = 112,248.67/x
  3. Step 3: Cross multiply
    312,068.74x = 467,822.11 × 112,248.67
  4. Step 4: Simplify right side
    312,068.74x = 52,512,409,644.09
  5. Step 5: Solve for x
    x = 52,512,409,644.09/312,068.74
  6. Step 6: Final answer
    x = 168,271.93

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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.