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Finding the Fourth Proportional to 209,034.09, 314,945.70 and 189,066.63

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Solution

The fourth proportional to 209,034.09, 314,945.70 and 189,066.63 is: 284,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034.09 : 314,945.70 = 189,066.63 : x
  2. Step 2: Convert to fraction form
    209,034.09/314,945.70 = 189,066.63/x
  3. Step 3: Cross multiply
    209,034.09x = 314,945.70 × 189,066.63
  4. Step 4: Simplify right side
    209,034.09x = 59,545,720,557.26
  5. Step 5: Solve for x
    x = 59,545,720,557.26/209,034.09
  6. Step 6: Final answer
    x = 284,861.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.