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Finding the Fourth Proportional to 97,735.40, 146,384.40 and 84,613.40

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Solution

The fourth proportional to 97,735.40, 146,384.40 and 84,613.40 is: 126,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,735.40 : 146,384.40 = 84,613.40 : x
  2. Step 2: Convert to fraction form
    97,735.40/146,384.40 = 84,613.40/x
  3. Step 3: Cross multiply
    97,735.40x = 146,384.40 × 84,613.40
  4. Step 4: Simplify right side
    97,735.40x = 12,386,081,790.96
  5. Step 5: Solve for x
    x = 12,386,081,790.96/97,735.40
  6. Step 6: Final answer
    x = 126,730.76

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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.