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Finding the Fourth Proportional to 185,349.16, 277,808.64 and 85,299.28

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Solution

The fourth proportional to 185,349.16, 277,808.64 and 85,299.28 is: 127,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,349.16 : 277,808.64 = 85,299.28 : x
  2. Step 2: Convert to fraction form
    185,349.16/277,808.64 = 85,299.28/x
  3. Step 3: Cross multiply
    185,349.16x = 277,808.64 × 85,299.28
  4. Step 4: Simplify right side
    185,349.16x = 23,696,876,969.78
  5. Step 5: Solve for x
    x = 23,696,876,969.78/185,349.16
  6. Step 6: Final answer
    x = 127,849.93

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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.