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Finding the Fourth Proportional to 218,710.83, 299,852.51 and 214,725.02

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Solution

The fourth proportional to 218,710.83, 299,852.51 and 214,725.02 is: 294,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,710.83 : 299,852.51 = 214,725.02 : x
  2. Step 2: Convert to fraction form
    218,710.83/299,852.51 = 214,725.02/x
  3. Step 3: Cross multiply
    218,710.83x = 299,852.51 × 214,725.02
  4. Step 4: Simplify right side
    218,710.83x = 64,385,836,206.80
  5. Step 5: Solve for x
    x = 64,385,836,206.80/218,710.83
  6. Step 6: Final answer
    x = 294,387.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.