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Finding the Fourth Proportional to 212,039.84, 292,609.20 and 116,546.56

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Solution

The fourth proportional to 212,039.84, 292,609.20 and 116,546.56 is: 160,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,039.84 : 292,609.20 = 116,546.56 : x
  2. Step 2: Convert to fraction form
    212,039.84/292,609.20 = 116,546.56/x
  3. Step 3: Cross multiply
    212,039.84x = 292,609.20 × 116,546.56
  4. Step 4: Simplify right side
    212,039.84x = 34,102,595,684.35
  5. Step 5: Solve for x
    x = 34,102,595,684.35/212,039.84
  6. Step 6: Final answer
    x = 160,831.08

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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.