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Finding the Fourth Proportional to 185,354.16, 277,816.14 and 85,304.28

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Solution

The fourth proportional to 185,354.16, 277,816.14 and 85,304.28 is: 127,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,354.16 : 277,816.14 = 85,304.28 : x
  2. Step 2: Convert to fraction form
    185,354.16/277,816.14 = 85,304.28/x
  3. Step 3: Cross multiply
    185,354.16x = 277,816.14 × 85,304.28
  4. Step 4: Simplify right side
    185,354.16x = 23,698,905,795.08
  5. Step 5: Solve for x
    x = 23,698,905,795.08/185,354.16
  6. Step 6: Final answer
    x = 127,857.43

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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.