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Finding the Fourth Proportional to 216,114.92, 298,213.62 and 120,624.20

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Solution

The fourth proportional to 216,114.92, 298,213.62 and 120,624.20 is: 166,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,114.92 : 298,213.62 = 120,624.20 : x
  2. Step 2: Convert to fraction form
    216,114.92/298,213.62 = 120,624.20/x
  3. Step 3: Cross multiply
    216,114.92x = 298,213.62 × 120,624.20
  4. Step 4: Simplify right side
    216,114.92x = 35,971,779,341.60
  5. Step 5: Solve for x
    x = 35,971,779,341.60/216,114.92
  6. Step 6: Final answer
    x = 166,447.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.