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Finding the Fourth Proportional to 214,392.92, 295,854.76 and 118,908.50

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Solution

The fourth proportional to 214,392.92, 295,854.76 and 118,908.50 is: 164,089.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,392.92 : 295,854.76 = 118,908.50 : x
  2. Step 2: Convert to fraction form
    214,392.92/295,854.76 = 118,908.50/x
  3. Step 3: Cross multiply
    214,392.92x = 295,854.76 × 118,908.50
  4. Step 4: Simplify right side
    214,392.92x = 35,179,645,729.46
  5. Step 5: Solve for x
    x = 35,179,645,729.46/214,392.92
  6. Step 6: Final answer
    x = 164,089.59

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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.