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Finding the Fourth Proportional to 138,212.83, 190,733.31 and 77,783.47

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Solution

The fourth proportional to 138,212.83, 190,733.31 and 77,783.47 is: 107,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,212.83 : 190,733.31 = 77,783.47 : x
  2. Step 2: Convert to fraction form
    138,212.83/190,733.31 = 77,783.47/x
  3. Step 3: Cross multiply
    138,212.83x = 190,733.31 × 77,783.47
  4. Step 4: Simplify right side
    138,212.83x = 14,835,897,927.86
  5. Step 5: Solve for x
    x = 14,835,897,927.86/138,212.83
  6. Step 6: Final answer
    x = 107,340.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.