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Finding the Fourth Proportional to 217,705.84, 326,254.64 and 117,650.32

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Solution

The fourth proportional to 217,705.84, 326,254.64 and 117,650.32 is: 176,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,705.84 : 326,254.64 = 117,650.32 : x
  2. Step 2: Convert to fraction form
    217,705.84/326,254.64 = 117,650.32/x
  3. Step 3: Cross multiply
    217,705.84x = 326,254.64 × 117,650.32
  4. Step 4: Simplify right side
    217,705.84x = 38,383,962,797.48
  5. Step 5: Solve for x
    x = 38,383,962,797.48/217,705.84
  6. Step 6: Final answer
    x = 176,311.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.