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Finding the Fourth Proportional to 97,314.30, 145,960.65 and 27,200.70

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Solution

The fourth proportional to 97,314.30, 145,960.65 and 27,200.70 is: 40,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,314.30 : 145,960.65 = 27,200.70 : x
  2. Step 2: Convert to fraction form
    97,314.30/145,960.65 = 27,200.70/x
  3. Step 3: Cross multiply
    97,314.30x = 145,960.65 × 27,200.70
  4. Step 4: Simplify right side
    97,314.30x = 3,970,231,852.46
  5. Step 5: Solve for x
    x = 3,970,231,852.46/97,314.30
  6. Step 6: Final answer
    x = 40,798.03

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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.