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Finding the Fourth Proportional to 138,887.63, 191,664.93 and 75,225.89

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Solution

The fourth proportional to 138,887.63, 191,664.93 and 75,225.89 is: 103,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,887.63 : 191,664.93 = 75,225.89 : x
  2. Step 2: Convert to fraction form
    138,887.63/191,664.93 = 75,225.89/x
  3. Step 3: Cross multiply
    138,887.63x = 191,664.93 × 75,225.89
  4. Step 4: Simplify right side
    138,887.63x = 14,418,164,941.04
  5. Step 5: Solve for x
    x = 14,418,164,941.04/138,887.63
  6. Step 6: Final answer
    x = 103,811.73

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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.