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Finding the Fourth Proportional to 134,802, 186,026.76 and 75,186

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Solution

The fourth proportional to 134,802, 186,026.76 and 75,186 is: 103,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,802 : 186,026.76 = 75,186 : x
  2. Step 2: Convert to fraction form
    134,802/186,026.76 = 75,186/x
  3. Step 3: Cross multiply
    134,802x = 186,026.76 × 75,186
  4. Step 4: Simplify right side
    134,802x = 13,986,607,977.36
  5. Step 5: Solve for x
    x = 13,986,607,977.36/134,802
  6. Step 6: Final answer
    x = 103,756.68

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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.