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Finding the Fourth Proportional to 214,104.35, 295,460.07 and 118,609

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Solution

The fourth proportional to 214,104.35, 295,460.07 and 118,609 is: 163,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,104.35 : 295,460.07 = 118,609 : x
  2. Step 2: Convert to fraction form
    214,104.35/295,460.07 = 118,609/x
  3. Step 3: Cross multiply
    214,104.35x = 295,460.07 × 118,609
  4. Step 4: Simplify right side
    214,104.35x = 35,044,223,442.63
  5. Step 5: Solve for x
    x = 35,044,223,442.63/214,104.35
  6. Step 6: Final answer
    x = 163,678.24

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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.