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Finding the Fourth Proportional to 312,192.98, 430,826.84 and 168,953.12

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Solution

The fourth proportional to 312,192.98, 430,826.84 and 168,953.12 is: 233,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,192.98 : 430,826.84 = 168,953.12 : x
  2. Step 2: Convert to fraction form
    312,192.98/430,826.84 = 168,953.12/x
  3. Step 3: Cross multiply
    312,192.98x = 430,826.84 × 168,953.12
  4. Step 4: Simplify right side
    312,192.98x = 72,789,538,797.74
  5. Step 5: Solve for x
    x = 72,789,538,797.74/312,192.98
  6. Step 6: Final answer
    x = 233,155.59

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1.5x scale

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.