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Finding the Fourth Proportional to 185,093.66, 277,657.43 and 51,973.02

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Solution

The fourth proportional to 185,093.66, 277,657.43 and 51,973.02 is: 77,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,093.66 : 277,657.43 = 51,973.02 : x
  2. Step 2: Convert to fraction form
    185,093.66/277,657.43 = 51,973.02/x
  3. Step 3: Cross multiply
    185,093.66x = 277,657.43 × 51,973.02
  4. Step 4: Simplify right side
    185,093.66x = 14,430,693,514.39
  5. Step 5: Solve for x
    x = 14,430,693,514.39/185,093.66
  6. Step 6: Final answer
    x = 77,964.28

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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.