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Finding the Fourth Proportional to 214,259.71, 295,005.11 and 181,926.28

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Solution

The fourth proportional to 214,259.71, 295,005.11 and 181,926.28 is: 250,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,259.71 : 295,005.11 = 181,926.28 : x
  2. Step 2: Convert to fraction form
    214,259.71/295,005.11 = 181,926.28/x
  3. Step 3: Cross multiply
    214,259.71x = 295,005.11 × 181,926.28
  4. Step 4: Simplify right side
    214,259.71x = 53,669,182,407.72
  5. Step 5: Solve for x
    x = 53,669,182,407.72/214,259.71
  6. Step 6: Final answer
    x = 250,486.59

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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.