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Finding the Fourth Proportional to 214,263.36, 295,652.36 and 118,770

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Solution

The fourth proportional to 214,263.36, 295,652.36 and 118,770 is: 163,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,263.36 : 295,652.36 = 118,770 : x
  2. Step 2: Convert to fraction form
    214,263.36/295,652.36 = 118,770/x
  3. Step 3: Cross multiply
    214,263.36x = 295,652.36 × 118,770
  4. Step 4: Simplify right side
    214,263.36x = 35,114,630,797.20
  5. Step 5: Solve for x
    x = 35,114,630,797.20/214,263.36
  6. Step 6: Final answer
    x = 163,885.37

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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.