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Finding the Fourth Proportional to 232,874.16, 321,347.16 and 137,384.88

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Solution

The fourth proportional to 232,874.16, 321,347.16 and 137,384.88 is: 189,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,874.16 : 321,347.16 = 137,384.88 : x
  2. Step 2: Convert to fraction form
    232,874.16/321,347.16 = 137,384.88/x
  3. Step 3: Cross multiply
    232,874.16x = 321,347.16 × 137,384.88
  4. Step 4: Simplify right side
    232,874.16x = 44,148,241,014.94
  5. Step 5: Solve for x
    x = 44,148,241,014.94/232,874.16
  6. Step 6: Final answer
    x = 189,579.82

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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.