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Finding the Fourth Proportional to 138,790.06, 191,530.29 and 75,128.38

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Solution

The fourth proportional to 138,790.06, 191,530.29 and 75,128.38 is: 103,677.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,790.06 : 191,530.29 = 75,128.38 : x
  2. Step 2: Convert to fraction form
    138,790.06/191,530.29 = 75,128.38/x
  3. Step 3: Cross multiply
    138,790.06x = 191,530.29 × 75,128.38
  4. Step 4: Simplify right side
    138,790.06x = 14,389,360,408.63
  5. Step 5: Solve for x
    x = 14,389,360,408.63/138,790.06
  6. Step 6: Final answer
    x = 103,677.17

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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.