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Finding the Fourth Proportional to 312,213.38, 430,854.69 and 168,973.53

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Solution

The fourth proportional to 312,213.38, 430,854.69 and 168,973.53 is: 233,183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,213.38 : 430,854.69 = 168,973.53 : x
  2. Step 2: Convert to fraction form
    312,213.38/430,854.69 = 168,973.53/x
  3. Step 3: Cross multiply
    312,213.38x = 430,854.69 × 168,973.53
  4. Step 4: Simplify right side
    312,213.38x = 72,803,037,886.36
  5. Step 5: Solve for x
    x = 72,803,037,886.36/312,213.38
  6. Step 6: Final answer
    x = 233,183.60

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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.