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Finding the Fourth Proportional to 218,933.28, 328,444.40 and 69,196.96

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Solution

The fourth proportional to 218,933.28, 328,444.40 and 69,196.96 is: 103,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,933.28 : 328,444.40 = 69,196.96 : x
  2. Step 2: Convert to fraction form
    218,933.28/328,444.40 = 69,196.96/x
  3. Step 3: Cross multiply
    218,933.28x = 328,444.40 × 69,196.96
  4. Step 4: Simplify right side
    218,933.28x = 22,727,354,009.02
  5. Step 5: Solve for x
    x = 22,727,354,009.02/218,933.28
  6. Step 6: Final answer
    x = 103,809.50

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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.