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Finding the Fourth Proportional to 219,376.84, 329,065.27 and 53,164.84

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Solution

The fourth proportional to 219,376.84, 329,065.27 and 53,164.84 is: 79,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,376.84 : 329,065.27 = 53,164.84 : x
  2. Step 2: Convert to fraction form
    219,376.84/329,065.27 = 53,164.84/x
  3. Step 3: Cross multiply
    219,376.84x = 329,065.27 × 53,164.84
  4. Step 4: Simplify right side
    219,376.84x = 17,494,702,429.11
  5. Step 5: Solve for x
    x = 17,494,702,429.11/219,376.84
  6. Step 6: Final answer
    x = 79,747.26

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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.