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Finding the Fourth Proportional to 185,064.25, 277,598.65 and 65,124.78

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Solution

The fourth proportional to 185,064.25, 277,598.65 and 65,124.78 is: 97,687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,064.25 : 277,598.65 = 65,124.78 : x
  2. Step 2: Convert to fraction form
    185,064.25/277,598.65 = 65,124.78/x
  3. Step 3: Cross multiply
    185,064.25x = 277,598.65 × 65,124.78
  4. Step 4: Simplify right side
    185,064.25x = 18,078,551,009.55
  5. Step 5: Solve for x
    x = 18,078,551,009.55/185,064.25
  6. Step 6: Final answer
    x = 97,687.97

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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.