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Finding the Fourth Proportional to 214,189.76, 295,583.52 and 118,698

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Solution

The fourth proportional to 214,189.76, 295,583.52 and 118,698 is: 163,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,189.76 : 295,583.52 = 118,698 : x
  2. Step 2: Convert to fraction form
    214,189.76/295,583.52 = 118,698/x
  3. Step 3: Cross multiply
    214,189.76x = 295,583.52 × 118,698
  4. Step 4: Simplify right side
    214,189.76x = 35,085,172,656.96
  5. Step 5: Solve for x
    x = 35,085,172,656.96/214,189.76
  6. Step 6: Final answer
    x = 163,804.16

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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.