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Finding the Fourth Proportional to 97,996.20, 147,071.10 and 45,412.20

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Solution

The fourth proportional to 97,996.20, 147,071.10 and 45,412.20 is: 68,153.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,996.20 : 147,071.10 = 45,412.20 : x
  2. Step 2: Convert to fraction form
    97,996.20/147,071.10 = 45,412.20/x
  3. Step 3: Cross multiply
    97,996.20x = 147,071.10 × 45,412.20
  4. Step 4: Simplify right side
    97,996.20x = 6,678,822,207.42
  5. Step 5: Solve for x
    x = 6,678,822,207.42/97,996.20
  6. Step 6: Final answer
    x = 68,153.89

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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.