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Finding the Fourth Proportional to 214,025.60, 320,962.80 and 73,751.60

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Solution

The fourth proportional to 214,025.60, 320,962.80 and 73,751.60 is: 110,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,025.60 : 320,962.80 = 73,751.60 : x
  2. Step 2: Convert to fraction form
    214,025.60/320,962.80 = 73,751.60/x
  3. Step 3: Cross multiply
    214,025.60x = 320,962.80 × 73,751.60
  4. Step 4: Simplify right side
    214,025.60x = 23,671,520,040.48
  5. Step 5: Solve for x
    x = 23,671,520,040.48/214,025.60
  6. Step 6: Final answer
    x = 110,601.35

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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.