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Finding the Fourth Proportional to 127,842.13, 191,695.65 and 56,733.88

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Solution

The fourth proportional to 127,842.13, 191,695.65 and 56,733.88 is: 85,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,842.13 : 191,695.65 = 56,733.88 : x
  2. Step 2: Convert to fraction form
    127,842.13/191,695.65 = 56,733.88/x
  3. Step 3: Cross multiply
    127,842.13x = 191,695.65 × 56,733.88
  4. Step 4: Simplify right side
    127,842.13x = 10,875,638,003.62
  5. Step 5: Solve for x
    x = 10,875,638,003.62/127,842.13
  6. Step 6: Final answer
    x = 85,070.84

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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.