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Finding the Fourth Proportional to 186,362.70, 257,173.50 and 113,886.78

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Solution

The fourth proportional to 186,362.70, 257,173.50 and 113,886.78 is: 157,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,362.70 : 257,173.50 = 113,886.78 : x
  2. Step 2: Convert to fraction form
    186,362.70/257,173.50 = 113,886.78/x
  3. Step 3: Cross multiply
    186,362.70x = 257,173.50 × 113,886.78
  4. Step 4: Simplify right side
    186,362.70x = 29,288,661,816.33
  5. Step 5: Solve for x
    x = 29,288,661,816.33/186,362.70
  6. Step 6: Final answer
    x = 157,159.46

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1.5x scale

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.