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Finding the Fourth Proportional to 208,346.16, 312,562.44 and 83,696.88

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Solution

The fourth proportional to 208,346.16, 312,562.44 and 83,696.88 is: 125,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.16 : 312,562.44 = 83,696.88 : x
  2. Step 2: Convert to fraction form
    208,346.16/312,562.44 = 83,696.88/x
  3. Step 3: Cross multiply
    208,346.16x = 312,562.44 × 83,696.88
  4. Step 4: Simplify right side
    208,346.16x = 26,160,501,033.19
  5. Step 5: Solve for x
    x = 26,160,501,033.19/208,346.16
  6. Step 6: Final answer
    x = 125,562.67

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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.