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Finding the Fourth Proportional to 207,221.93, 310,832.89 and 137,084.84

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Solution

The fourth proportional to 207,221.93, 310,832.89 and 137,084.84 is: 205,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,221.93 : 310,832.89 = 137,084.84 : x
  2. Step 2: Convert to fraction form
    207,221.93/310,832.89 = 137,084.84/x
  3. Step 3: Cross multiply
    207,221.93x = 310,832.89 × 137,084.84
  4. Step 4: Simplify right side
    207,221.93x = 42,610,475,741.09
  5. Step 5: Solve for x
    x = 42,610,475,741.09/207,221.93
  6. Step 6: Final answer
    x = 205,627.25

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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.