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Finding the Fourth Proportional to 213,437.12, 320,190.42 and 99,698.64

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Solution

The fourth proportional to 213,437.12, 320,190.42 and 99,698.64 is: 149,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,437.12 : 320,190.42 = 99,698.64 : x
  2. Step 2: Convert to fraction form
    213,437.12/320,190.42 = 99,698.64/x
  3. Step 3: Cross multiply
    213,437.12x = 320,190.42 × 99,698.64
  4. Step 4: Simplify right side
    213,437.12x = 31,922,549,415.03
  5. Step 5: Solve for x
    x = 31,922,549,415.03/213,437.12
  6. Step 6: Final answer
    x = 149,564.19

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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.