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Finding the Fourth Proportional to 186,037.80, 256,729.14 and 101,157

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Solution

The fourth proportional to 186,037.80, 256,729.14 and 101,157 is: 139,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,037.80 : 256,729.14 = 101,157 : x
  2. Step 2: Convert to fraction form
    186,037.80/256,729.14 = 101,157/x
  3. Step 3: Cross multiply
    186,037.80x = 256,729.14 × 101,157
  4. Step 4: Simplify right side
    186,037.80x = 25,969,949,614.98
  5. Step 5: Solve for x
    x = 25,969,949,614.98/186,037.80
  6. Step 6: Final answer
    x = 139,595.02

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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.