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Finding the Fourth Proportional to 219,396, 329,094 and 53,184

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Solution

The fourth proportional to 219,396, 329,094 and 53,184 is: 79,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,396 : 329,094 = 53,184 : x
  2. Step 2: Convert to fraction form
    219,396/329,094 = 53,184/x
  3. Step 3: Cross multiply
    219,396x = 329,094 × 53,184
  4. Step 4: Simplify right side
    219,396x = 17,502,535,296
  5. Step 5: Solve for x
    x = 17,502,535,296/219,396
  6. Step 6: Final answer
    x = 79,776

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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.