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Finding the Fourth Proportional to 214,875.88, 296,619.63 and 145,040.31

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Solution

The fourth proportional to 214,875.88, 296,619.63 and 145,040.31 is: 200,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,875.88 : 296,619.63 = 145,040.31 : x
  2. Step 2: Convert to fraction form
    214,875.88/296,619.63 = 145,040.31/x
  3. Step 3: Cross multiply
    214,875.88x = 296,619.63 × 145,040.31
  4. Step 4: Simplify right side
    214,875.88x = 43,021,803,087.29
  5. Step 5: Solve for x
    x = 43,021,803,087.29/214,875.88
  6. Step 6: Final answer
    x = 200,217.00

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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.