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Finding the Fourth Proportional to 97,409.70, 146,078.10 and 34,205.40

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Solution

The fourth proportional to 97,409.70, 146,078.10 and 34,205.40 is: 51,295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,409.70 : 146,078.10 = 34,205.40 : x
  2. Step 2: Convert to fraction form
    97,409.70/146,078.10 = 34,205.40/x
  3. Step 3: Cross multiply
    97,409.70x = 146,078.10 × 34,205.40
  4. Step 4: Simplify right side
    97,409.70x = 4,996,659,841.74
  5. Step 5: Solve for x
    x = 4,996,659,841.74/97,409.70
  6. Step 6: Final answer
    x = 51,295.30

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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.