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Finding the Fourth Proportional to 138,881.10, 191,653.65 and 75,218.34

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Solution

The fourth proportional to 138,881.10, 191,653.65 and 75,218.34 is: 103,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,881.10 : 191,653.65 = 75,218.34 : x
  2. Step 2: Convert to fraction form
    138,881.10/191,653.65 = 75,218.34/x
  3. Step 3: Cross multiply
    138,881.10x = 191,653.65 × 75,218.34
  4. Step 4: Simplify right side
    138,881.10x = 14,415,869,407.94
  5. Step 5: Solve for x
    x = 14,415,869,407.94/138,881.10
  6. Step 6: Final answer
    x = 103,800.08

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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.