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Finding the Fourth Proportional to 97,683.20, 146,524.80 and 58,284.80

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Solution

The fourth proportional to 97,683.20, 146,524.80 and 58,284.80 is: 87,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,683.20 : 146,524.80 = 58,284.80 : x
  2. Step 2: Convert to fraction form
    97,683.20/146,524.80 = 58,284.80/x
  3. Step 3: Cross multiply
    97,683.20x = 146,524.80 × 58,284.80
  4. Step 4: Simplify right side
    97,683.20x = 8,540,168,663.04
  5. Step 5: Solve for x
    x = 8,540,168,663.04/97,683.20
  6. Step 6: Final answer
    x = 87,427.20

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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.