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Finding the Fourth Proportional to 178,467.84, 246,244.32 and 106,820.64

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Solution

The fourth proportional to 178,467.84, 246,244.32 and 106,820.64 is: 147,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,467.84 : 246,244.32 = 106,820.64 : x
  2. Step 2: Convert to fraction form
    178,467.84/246,244.32 = 106,820.64/x
  3. Step 3: Cross multiply
    178,467.84x = 246,244.32 × 106,820.64
  4. Step 4: Simplify right side
    178,467.84x = 26,303,975,858.76
  5. Step 5: Solve for x
    x = 26,303,975,858.76/178,467.84
  6. Step 6: Final answer
    x = 147,387.76

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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.