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Finding the Fourth Proportional to 214,402.64, 295,840.20 and 118,894.16

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Solution

The fourth proportional to 214,402.64, 295,840.20 and 118,894.16 is: 164,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402.64 : 295,840.20 = 118,894.16 : x
  2. Step 2: Convert to fraction form
    214,402.64/295,840.20 = 118,894.16/x
  3. Step 3: Cross multiply
    214,402.64x = 295,840.20 × 118,894.16
  4. Step 4: Simplify right side
    214,402.64x = 35,173,672,073.23
  5. Step 5: Solve for x
    x = 35,173,672,073.23/214,402.64
  6. Step 6: Final answer
    x = 164,054.29

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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.