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Finding the Fourth Proportional to 201,176.64, 277,613.82 and 120,588.51

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Solution

The fourth proportional to 201,176.64, 277,613.82 and 120,588.51 is: 166,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,176.64 : 277,613.82 = 120,588.51 : x
  2. Step 2: Convert to fraction form
    201,176.64/277,613.82 = 120,588.51/x
  3. Step 3: Cross multiply
    201,176.64x = 277,613.82 × 120,588.51
  4. Step 4: Simplify right side
    201,176.64x = 33,477,036,909.21
  5. Step 5: Solve for x
    x = 33,477,036,909.21/201,176.64
  6. Step 6: Final answer
    x = 166,406.18

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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.