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Finding the Fourth Proportional to 186,760, 257,728.80 and 101,877.40

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Solution

The fourth proportional to 186,760, 257,728.80 and 101,877.40 is: 140,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,760 : 257,728.80 = 101,877.40 : x
  2. Step 2: Convert to fraction form
    186,760/257,728.80 = 101,877.40/x
  3. Step 3: Cross multiply
    186,760x = 257,728.80 × 101,877.40
  4. Step 4: Simplify right side
    186,760x = 26,256,740,049.12
  5. Step 5: Solve for x
    x = 26,256,740,049.12/186,760
  6. Step 6: Final answer
    x = 140,590.81

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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.