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Finding the Fourth Proportional to 186,291, 257,081.61 and 101,408.70

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Solution

The fourth proportional to 186,291, 257,081.61 and 101,408.70 is: 139,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,291 : 257,081.61 = 101,408.70 : x
  2. Step 2: Convert to fraction form
    186,291/257,081.61 = 101,408.70/x
  3. Step 3: Cross multiply
    186,291x = 257,081.61 × 101,408.70
  4. Step 4: Simplify right side
    186,291x = 26,070,311,864.01
  5. Step 5: Solve for x
    x = 26,070,311,864.01/186,291
  6. Step 6: Final answer
    x = 139,944.02

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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.