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Finding the Fourth Proportional to 109,092.20, 163,724.70 and 42,564.20

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Solution

The fourth proportional to 109,092.20, 163,724.70 and 42,564.20 is: 63,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,092.20 : 163,724.70 = 42,564.20 : x
  2. Step 2: Convert to fraction form
    109,092.20/163,724.70 = 42,564.20/x
  3. Step 3: Cross multiply
    109,092.20x = 163,724.70 × 42,564.20
  4. Step 4: Simplify right side
    109,092.20x = 6,968,810,875.74
  5. Step 5: Solve for x
    x = 6,968,810,875.74/109,092.20
  6. Step 6: Final answer
    x = 63,880.01

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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.