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Finding the Fourth Proportional to 109,661.70, 164,492.55 and 97,997.70

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Solution

The fourth proportional to 109,661.70, 164,492.55 and 97,997.70 is: 146,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.70 : 164,492.55 = 97,997.70 : x
  2. Step 2: Convert to fraction form
    109,661.70/164,492.55 = 97,997.70/x
  3. Step 3: Cross multiply
    109,661.70x = 164,492.55 × 97,997.70
  4. Step 4: Simplify right side
    109,661.70x = 16,119,891,567.14
  5. Step 5: Solve for x
    x = 16,119,891,567.14/109,661.70
  6. Step 6: Final answer
    x = 146,996.55

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1.5x scale

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.