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Finding the Fourth Proportional to 185,201.08, 277,822.12 and 72,866.50

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Solution

The fourth proportional to 185,201.08, 277,822.12 and 72,866.50 is: 109,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,201.08 : 277,822.12 = 72,866.50 : x
  2. Step 2: Convert to fraction form
    185,201.08/277,822.12 = 72,866.50/x
  3. Step 3: Cross multiply
    185,201.08x = 277,822.12 × 72,866.50
  4. Step 4: Simplify right side
    185,201.08x = 20,243,925,324.81
  5. Step 5: Solve for x
    x = 20,243,925,324.81/185,201.08
  6. Step 6: Final answer
    x = 109,307.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.