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Finding the Fourth Proportional to 213,403.41, 320,262.99 and 101,084.22

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Solution

The fourth proportional to 213,403.41, 320,262.99 and 101,084.22 is: 151,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,403.41 : 320,262.99 = 101,084.22 : x
  2. Step 2: Convert to fraction form
    213,403.41/320,262.99 = 101,084.22/x
  3. Step 3: Cross multiply
    213,403.41x = 320,262.99 × 101,084.22
  4. Step 4: Simplify right side
    213,403.41x = 32,373,534,539.02
  5. Step 5: Solve for x
    x = 32,373,534,539.02/213,403.41
  6. Step 6: Final answer
    x = 151,701.11

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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.