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Finding the Fourth Proportional to 214,257.34, 295,644.09 and 118,764.01

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Solution

The fourth proportional to 214,257.34, 295,644.09 and 118,764.01 is: 163,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,257.34 : 295,644.09 = 118,764.01 : x
  2. Step 2: Convert to fraction form
    214,257.34/295,644.09 = 118,764.01/x
  3. Step 3: Cross multiply
    214,257.34x = 295,644.09 × 118,764.01
  4. Step 4: Simplify right side
    214,257.34x = 35,111,877,661.20
  5. Step 5: Solve for x
    x = 35,111,877,661.20/214,257.34
  6. Step 6: Final answer
    x = 163,877.13

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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.