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Finding the Fourth Proportional to 201,098.76, 277,485.36 and 116,199.42

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Solution

The fourth proportional to 201,098.76, 277,485.36 and 116,199.42 is: 160,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098.76 : 277,485.36 = 116,199.42 : x
  2. Step 2: Convert to fraction form
    201,098.76/277,485.36 = 116,199.42/x
  3. Step 3: Cross multiply
    201,098.76x = 277,485.36 × 116,199.42
  4. Step 4: Simplify right side
    201,098.76x = 32,243,637,890.49
  5. Step 5: Solve for x
    x = 32,243,637,890.49/201,098.76
  6. Step 6: Final answer
    x = 160,337.33

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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.