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Finding the Fourth Proportional to 219,396, 329,095.92 and 53,184

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Solution

The fourth proportional to 219,396, 329,095.92 and 53,184 is: 79,776.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,396 : 329,095.92 = 53,184 : x
  2. Step 2: Convert to fraction form
    219,396/329,095.92 = 53,184/x
  3. Step 3: Cross multiply
    219,396x = 329,095.92 × 53,184
  4. Step 4: Simplify right side
    219,396x = 17,502,637,409.28
  5. Step 5: Solve for x
    x = 17,502,637,409.28/219,396
  6. Step 6: Final answer
    x = 79,776.47

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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.