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Finding the Fourth Proportional to 178,246.50, 245,980.17 and 106,629.54

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Solution

The fourth proportional to 178,246.50, 245,980.17 and 106,629.54 is: 147,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,246.50 : 245,980.17 = 106,629.54 : x
  2. Step 2: Convert to fraction form
    178,246.50/245,980.17 = 106,629.54/x
  3. Step 3: Cross multiply
    178,246.50x = 245,980.17 × 106,629.54
  4. Step 4: Simplify right side
    178,246.50x = 26,228,752,376.22
  5. Step 5: Solve for x
    x = 26,228,752,376.22/178,246.50
  6. Step 6: Final answer
    x = 147,148.77

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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.