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Finding the Fourth Proportional to 214,553.88, 295,878.40 and 128,499.08

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Solution

The fourth proportional to 214,553.88, 295,878.40 and 128,499.08 is: 177,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,553.88 : 295,878.40 = 128,499.08 : x
  2. Step 2: Convert to fraction form
    214,553.88/295,878.40 = 128,499.08/x
  3. Step 3: Cross multiply
    214,553.88x = 295,878.40 × 128,499.08
  4. Step 4: Simplify right side
    214,553.88x = 38,020,102,191.87
  5. Step 5: Solve for x
    x = 38,020,102,191.87/214,553.88
  6. Step 6: Final answer
    x = 177,205.38

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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.