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Finding the Fourth Proportional to 214,370.64, 295,829.82 and 118,877.58

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Solution

The fourth proportional to 214,370.64, 295,829.82 and 118,877.58 is: 164,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,370.64 : 295,829.82 = 118,877.58 : x
  2. Step 2: Convert to fraction form
    214,370.64/295,829.82 = 118,877.58/x
  3. Step 3: Cross multiply
    214,370.64x = 295,829.82 × 118,877.58
  4. Step 4: Simplify right side
    214,370.64x = 35,167,533,093.44
  5. Step 5: Solve for x
    x = 35,167,533,093.44/214,370.64
  6. Step 6: Final answer
    x = 164,050.14

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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.