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Finding the Fourth Proportional to 232,754.68, 321,323.70 and 156,674.20

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Solution

The fourth proportional to 232,754.68, 321,323.70 and 156,674.20 is: 216,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,754.68 : 321,323.70 = 156,674.20 : x
  2. Step 2: Convert to fraction form
    232,754.68/321,323.70 = 156,674.20/x
  3. Step 3: Cross multiply
    232,754.68x = 321,323.70 × 156,674.20
  4. Step 4: Simplify right side
    232,754.68x = 50,343,133,638.54
  5. Step 5: Solve for x
    x = 50,343,133,638.54/232,754.68
  6. Step 6: Final answer
    x = 216,292.68

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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.