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Finding the Fourth Proportional to 214,855.94, 322,254.75 and 63,048.98

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Solution

The fourth proportional to 214,855.94, 322,254.75 and 63,048.98 is: 94,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,855.94 : 322,254.75 = 63,048.98 : x
  2. Step 2: Convert to fraction form
    214,855.94/322,254.75 = 63,048.98/x
  3. Step 3: Cross multiply
    214,855.94x = 322,254.75 × 63,048.98
  4. Step 4: Simplify right side
    214,855.94x = 20,317,833,287.66
  5. Step 5: Solve for x
    x = 20,317,833,287.66/214,855.94
  6. Step 6: Final answer
    x = 94,564.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.