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Finding the Fourth Proportional to 185,086.16, 277,630 and 51,967.52

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Solution

The fourth proportional to 185,086.16, 277,630 and 51,967.52 is: 77,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,086.16 : 277,630 = 51,967.52 : x
  2. Step 2: Convert to fraction form
    185,086.16/277,630 = 51,967.52/x
  3. Step 3: Cross multiply
    185,086.16x = 277,630 × 51,967.52
  4. Step 4: Simplify right side
    185,086.16x = 14,427,742,577.60
  5. Step 5: Solve for x
    x = 14,427,742,577.60/185,086.16
  6. Step 6: Final answer
    x = 77,951.49

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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.