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Finding the Fourth Proportional to 214,325.76, 295,769.04 and 118,830

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Solution

The fourth proportional to 214,325.76, 295,769.04 and 118,830 is: 163,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,325.76 : 295,769.04 = 118,830 : x
  2. Step 2: Convert to fraction form
    214,325.76/295,769.04 = 118,830/x
  3. Step 3: Cross multiply
    214,325.76x = 295,769.04 × 118,830
  4. Step 4: Simplify right side
    214,325.76x = 35,146,235,023.20
  5. Step 5: Solve for x
    x = 35,146,235,023.20/214,325.76
  6. Step 6: Final answer
    x = 163,985.12

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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.