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Finding the Fourth Proportional to 97,411.70, 146,081.10 and 34,207.40

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Solution

The fourth proportional to 97,411.70, 146,081.10 and 34,207.40 is: 51,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.70 : 146,081.10 = 34,207.40 : x
  2. Step 2: Convert to fraction form
    97,411.70/146,081.10 = 34,207.40/x
  3. Step 3: Cross multiply
    97,411.70x = 146,081.10 × 34,207.40
  4. Step 4: Simplify right side
    97,411.70x = 4,997,054,620.14
  5. Step 5: Solve for x
    x = 4,997,054,620.14/97,411.70
  6. Step 6: Final answer
    x = 51,298.30

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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.