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Finding the Fourth Proportional to 214,178.64, 295,568.29 and 118,686.93

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Solution

The fourth proportional to 214,178.64, 295,568.29 and 118,686.93 is: 163,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,178.64 : 295,568.29 = 118,686.93 : x
  2. Step 2: Convert to fraction form
    214,178.64/295,568.29 = 118,686.93/x
  3. Step 3: Cross multiply
    214,178.64x = 295,568.29 × 118,686.93
  4. Step 4: Simplify right side
    214,178.64x = 35,080,092,945.45
  5. Step 5: Solve for x
    x = 35,080,092,945.45/214,178.64
  6. Step 6: Final answer
    x = 163,788.94

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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.