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Finding the Fourth Proportional to 109,816.10, 164,724.15 and 65,492.90

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Solution

The fourth proportional to 109,816.10, 164,724.15 and 65,492.90 is: 98,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,816.10 : 164,724.15 = 65,492.90 : x
  2. Step 2: Convert to fraction form
    109,816.10/164,724.15 = 65,492.90/x
  3. Step 3: Cross multiply
    109,816.10x = 164,724.15 × 65,492.90
  4. Step 4: Simplify right side
    109,816.10x = 10,788,262,283.54
  5. Step 5: Solve for x
    x = 10,788,262,283.54/109,816.10
  6. Step 6: Final answer
    x = 98,239.35

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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.