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Finding the Fourth Proportional to 185,092.64, 277,655.91 and 51,972.00

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Solution

The fourth proportional to 185,092.64, 277,655.91 and 51,972.00 is: 77,962.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,092.64 : 277,655.91 = 51,972.00 : x
  2. Step 2: Convert to fraction form
    185,092.64/277,655.91 = 51,972.00/x
  3. Step 3: Cross multiply
    185,092.64x = 277,655.91 × 51,972.00
  4. Step 4: Simplify right side
    185,092.64x = 14,430,333,518.73
  5. Step 5: Solve for x
    x = 14,430,333,518.73/185,092.64
  6. Step 6: Final answer
    x = 77,962.76

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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.