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Finding the Fourth Proportional to 178,157, 245,849.46 and 106,576.58

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Solution

The fourth proportional to 178,157, 245,849.46 and 106,576.58 is: 147,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,157 : 245,849.46 = 106,576.58 : x
  2. Step 2: Convert to fraction form
    178,157/245,849.46 = 106,576.58/x
  3. Step 3: Cross multiply
    178,157x = 245,849.46 × 106,576.58
  4. Step 4: Simplify right side
    178,157x = 26,201,794,641.65
  5. Step 5: Solve for x
    x = 26,201,794,641.65/178,157
  6. Step 6: Final answer
    x = 147,071.37

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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.