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Finding the Fourth Proportional to 178,219.36, 245,882.16 and 101,683.48

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Solution

The fourth proportional to 178,219.36, 245,882.16 and 101,683.48 is: 140,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,219.36 : 245,882.16 = 101,683.48 : x
  2. Step 2: Convert to fraction form
    178,219.36/245,882.16 = 101,683.48/x
  3. Step 3: Cross multiply
    178,219.36x = 245,882.16 × 101,683.48
  4. Step 4: Simplify right side
    178,219.36x = 25,002,153,698.72
  5. Step 5: Solve for x
    x = 25,002,153,698.72/178,219.36
  6. Step 6: Final answer
    x = 140,288.65

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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.