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Finding the Fourth Proportional to 209,299.84, 314,029.44 and 97,034.24

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Solution

The fourth proportional to 209,299.84, 314,029.44 and 97,034.24 is: 145,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,299.84 : 314,029.44 = 97,034.24 : x
  2. Step 2: Convert to fraction form
    209,299.84/314,029.44 = 97,034.24/x
  3. Step 3: Cross multiply
    209,299.84x = 314,029.44 × 97,034.24
  4. Step 4: Simplify right side
    209,299.84x = 30,471,608,048.03
  5. Step 5: Solve for x
    x = 30,471,608,048.03/209,299.84
  6. Step 6: Final answer
    x = 145,588.30

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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.