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Finding the Fourth Proportional to 216,095.60, 324,143.40 and 189,851.60

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Solution

The fourth proportional to 216,095.60, 324,143.40 and 189,851.60 is: 284,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,095.60 : 324,143.40 = 189,851.60 : x
  2. Step 2: Convert to fraction form
    216,095.60/324,143.40 = 189,851.60/x
  3. Step 3: Cross multiply
    216,095.60x = 324,143.40 × 189,851.60
  4. Step 4: Simplify right side
    216,095.60x = 61,539,143,119.44
  5. Step 5: Solve for x
    x = 61,539,143,119.44/216,095.60
  6. Step 6: Final answer
    x = 284,777.40

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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.