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Finding the Fourth Proportional to 138,401.86, 190,955.06 and 77,951.38

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Solution

The fourth proportional to 138,401.86, 190,955.06 and 77,951.38 is: 107,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,401.86 : 190,955.06 = 77,951.38 : x
  2. Step 2: Convert to fraction form
    138,401.86/190,955.06 = 77,951.38/x
  3. Step 3: Cross multiply
    138,401.86x = 190,955.06 × 77,951.38
  4. Step 4: Simplify right side
    138,401.86x = 14,885,210,444.98
  5. Step 5: Solve for x
    x = 14,885,210,444.98/138,401.86
  6. Step 6: Final answer
    x = 107,550.65

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Why These Related Problems?

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