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Finding the Fourth Proportional to 219,867.54, 329,802.09 and 53,655.54

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Solution

The fourth proportional to 219,867.54, 329,802.09 and 53,655.54 is: 80,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,867.54 : 329,802.09 = 53,655.54 : x
  2. Step 2: Convert to fraction form
    219,867.54/329,802.09 = 53,655.54/x
  3. Step 3: Cross multiply
    219,867.54x = 329,802.09 × 53,655.54
  4. Step 4: Simplify right side
    219,867.54x = 17,695,709,232.08
  5. Step 5: Solve for x
    x = 17,695,709,232.08/219,867.54
  6. Step 6: Final answer
    x = 80,483.50

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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.