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Finding the Fourth Proportional to 264,475.16, 396,323.68 and 156,293.16

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Solution

The fourth proportional to 264,475.16, 396,323.68 and 156,293.16 is: 234,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,475.16 : 396,323.68 = 156,293.16 : x
  2. Step 2: Convert to fraction form
    264,475.16/396,323.68 = 156,293.16/x
  3. Step 3: Cross multiply
    264,475.16x = 396,323.68 × 156,293.16
  4. Step 4: Simplify right side
    264,475.16x = 61,942,680,330.03
  5. Step 5: Solve for x
    x = 61,942,680,330.03/264,475.16
  6. Step 6: Final answer
    x = 234,209.82

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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.