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Finding the Fourth Proportional to 213,794.58, 320,601.64 and 64,056.16

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Solution

The fourth proportional to 213,794.58, 320,601.64 and 64,056.16 is: 96,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.58 : 320,601.64 = 64,056.16 : x
  2. Step 2: Convert to fraction form
    213,794.58/320,601.64 = 64,056.16/x
  3. Step 3: Cross multiply
    213,794.58x = 320,601.64 × 64,056.16
  4. Step 4: Simplify right side
    213,794.58x = 20,536,509,948.10
  5. Step 5: Solve for x
    x = 20,536,509,948.10/213,794.58
  6. Step 6: Final answer
    x = 96,057.21

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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.