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Finding the Fourth Proportional to 127,659.72, 191,607.90 and 64,523.84

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Solution

The fourth proportional to 127,659.72, 191,607.90 and 64,523.84 is: 96,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,659.72 : 191,607.90 = 64,523.84 : x
  2. Step 2: Convert to fraction form
    127,659.72/191,607.90 = 64,523.84/x
  3. Step 3: Cross multiply
    127,659.72x = 191,607.90 × 64,523.84
  4. Step 4: Simplify right side
    127,659.72x = 12,363,277,904.55
  5. Step 5: Solve for x
    x = 12,363,277,904.55/127,659.72
  6. Step 6: Final answer
    x = 96,845.57

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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.