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Finding the Fourth Proportional to 186,406.24, 257,243.54 and 101,523.24

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Solution

The fourth proportional to 186,406.24, 257,243.54 and 101,523.24 is: 140,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,406.24 : 257,243.54 = 101,523.24 : x
  2. Step 2: Convert to fraction form
    186,406.24/257,243.54 = 101,523.24/x
  3. Step 3: Cross multiply
    186,406.24x = 257,243.54 × 101,523.24
  4. Step 4: Simplify right side
    186,406.24x = 26,116,197,649.87
  5. Step 5: Solve for x
    x = 26,116,197,649.87/186,406.24
  6. Step 6: Final answer
    x = 140,103.67

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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.