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Finding the Fourth Proportional to 223,682.94, 308,783.21 and 147,242.17

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Solution

The fourth proportional to 223,682.94, 308,783.21 and 147,242.17 is: 203,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,682.94 : 308,783.21 = 147,242.17 : x
  2. Step 2: Convert to fraction form
    223,682.94/308,783.21 = 147,242.17/x
  3. Step 3: Cross multiply
    223,682.94x = 308,783.21 × 147,242.17
  4. Step 4: Simplify right side
    223,682.94x = 45,465,909,489.41
  5. Step 5: Solve for x
    x = 45,465,909,489.41/223,682.94
  6. Step 6: Final answer
    x = 203,260.51

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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.