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Finding the Fourth Proportional to 216,433.92, 298,656.64 and 148,509.12

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Solution

The fourth proportional to 216,433.92, 298,656.64 and 148,509.12 is: 204,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,433.92 : 298,656.64 = 148,509.12 : x
  2. Step 2: Convert to fraction form
    216,433.92/298,656.64 = 148,509.12/x
  3. Step 3: Cross multiply
    216,433.92x = 298,656.64 × 148,509.12
  4. Step 4: Simplify right side
    216,433.92x = 44,353,234,788.56
  5. Step 5: Solve for x
    x = 44,353,234,788.56/216,433.92
  6. Step 6: Final answer
    x = 204,927.37

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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.