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Finding the Fourth Proportional to 214,659.60, 296,237.88 and 119,167.80

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Solution

The fourth proportional to 214,659.60, 296,237.88 and 119,167.80 is: 164,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,659.60 : 296,237.88 = 119,167.80 : x
  2. Step 2: Convert to fraction form
    214,659.60/296,237.88 = 119,167.80/x
  3. Step 3: Cross multiply
    214,659.60x = 296,237.88 × 119,167.80
  4. Step 4: Simplify right side
    214,659.60x = 35,302,016,436.26
  5. Step 5: Solve for x
    x = 35,302,016,436.26/214,659.60
  6. Step 6: Final answer
    x = 164,455.80

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1.5x scale

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.