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Finding the Fourth Proportional to 214,892.40, 322,021.80 and 155,852.40

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Solution

The fourth proportional to 214,892.40, 322,021.80 and 155,852.40 is: 233,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,892.40 : 322,021.80 = 155,852.40 : x
  2. Step 2: Convert to fraction form
    214,892.40/322,021.80 = 155,852.40/x
  3. Step 3: Cross multiply
    214,892.40x = 322,021.80 × 155,852.40
  4. Step 4: Simplify right side
    214,892.40x = 50,187,870,382.32
  5. Step 5: Solve for x
    x = 50,187,870,382.32/214,892.40
  6. Step 6: Final answer
    x = 233,548.84

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1.5x scale

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.