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Finding the Fourth Proportional to 201,212.15, 277,656.48 and 116,334.68

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Solution

The fourth proportional to 201,212.15, 277,656.48 and 116,334.68 is: 160,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.15 : 277,656.48 = 116,334.68 : x
  2. Step 2: Convert to fraction form
    201,212.15/277,656.48 = 116,334.68/x
  3. Step 3: Cross multiply
    201,212.15x = 277,656.48 × 116,334.68
  4. Step 4: Simplify right side
    201,212.15x = 32,301,077,750.73
  5. Step 5: Solve for x
    x = 32,301,077,750.73/201,212.15
  6. Step 6: Final answer
    x = 160,532.44

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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.