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Finding the Fourth Proportional to 442,492.96, 663,738.08 and 110,068.96

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Solution

The fourth proportional to 442,492.96, 663,738.08 and 110,068.96 is: 165,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,492.96 : 663,738.08 = 110,068.96 : x
  2. Step 2: Convert to fraction form
    442,492.96/663,738.08 = 110,068.96/x
  3. Step 3: Cross multiply
    442,492.96x = 663,738.08 × 110,068.96
  4. Step 4: Simplify right side
    442,492.96x = 73,056,960,178.00
  5. Step 5: Solve for x
    x = 73,056,960,178.00/442,492.96
  6. Step 6: Final answer
    x = 165,103.10

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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.