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Finding the Fourth Proportional to 109,284, 163,964.88 and 53,918.88

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Solution

The fourth proportional to 109,284, 163,964.88 and 53,918.88 is: 80,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,284 : 163,964.88 = 53,918.88 : x
  2. Step 2: Convert to fraction form
    109,284/163,964.88 = 53,918.88/x
  3. Step 3: Cross multiply
    109,284x = 163,964.88 × 53,918.88
  4. Step 4: Simplify right side
    109,284x = 8,840,802,688.93
  5. Step 5: Solve for x
    x = 8,840,802,688.93/109,284
  6. Step 6: Final answer
    x = 80,897.50

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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.