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Finding the Fourth Proportional to 214,218.44, 295,610.06 and 123,569.00

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Solution

The fourth proportional to 214,218.44, 295,610.06 and 123,569.00 is: 170,518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,218.44 : 295,610.06 = 123,569.00 : x
  2. Step 2: Convert to fraction form
    214,218.44/295,610.06 = 123,569.00/x
  3. Step 3: Cross multiply
    214,218.44x = 295,610.06 × 123,569.00
  4. Step 4: Simplify right side
    214,218.44x = 36,528,238,335.01
  5. Step 5: Solve for x
    x = 36,528,238,335.01/214,218.44
  6. Step 6: Final answer
    x = 170,518.64

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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.