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Finding the Fourth Proportional to 201,118.64, 277,536.12 and 111,700.40

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Solution

The fourth proportional to 201,118.64, 277,536.12 and 111,700.40 is: 154,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,118.64 : 277,536.12 = 111,700.40 : x
  2. Step 2: Convert to fraction form
    201,118.64/277,536.12 = 111,700.40/x
  3. Step 3: Cross multiply
    201,118.64x = 277,536.12 × 111,700.40
  4. Step 4: Simplify right side
    201,118.64x = 31,000,895,618.45
  5. Step 5: Solve for x
    x = 31,000,895,618.45/201,118.64
  6. Step 6: Final answer
    x = 154,142.33

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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.