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Finding the Fourth Proportional to 212,194.96, 292,835.16 and 116,707.80

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Solution

The fourth proportional to 212,194.96, 292,835.16 and 116,707.80 is: 161,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,194.96 : 292,835.16 = 116,707.80 : x
  2. Step 2: Convert to fraction form
    212,194.96/292,835.16 = 116,707.80/x
  3. Step 3: Cross multiply
    212,194.96x = 292,835.16 × 116,707.80
  4. Step 4: Simplify right side
    212,194.96x = 34,176,147,286.25
  5. Step 5: Solve for x
    x = 34,176,147,286.25/212,194.96
  6. Step 6: Final answer
    x = 161,060.13

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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.