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Finding the Fourth Proportional to 186,761, 257,729.86 and 101,878.06

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Solution

The fourth proportional to 186,761, 257,729.86 and 101,878.06 is: 140,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,761 : 257,729.86 = 101,878.06 : x
  2. Step 2: Convert to fraction form
    186,761/257,729.86 = 101,878.06/x
  3. Step 3: Cross multiply
    186,761x = 257,729.86 × 101,878.06
  4. Step 4: Simplify right side
    186,761x = 26,257,018,140.87
  5. Step 5: Solve for x
    x = 26,257,018,140.87/186,761
  6. Step 6: Final answer
    x = 140,591.55

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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.