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Finding the Fourth Proportional to 230,071.20, 344,329.20 and 202,077.60

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Solution

The fourth proportional to 230,071.20, 344,329.20 and 202,077.60 is: 302,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,071.20 : 344,329.20 = 202,077.60 : x
  2. Step 2: Convert to fraction form
    230,071.20/344,329.20 = 202,077.60/x
  3. Step 3: Cross multiply
    230,071.20x = 344,329.20 × 202,077.60
  4. Step 4: Simplify right side
    230,071.20x = 69,581,218,345.92
  5. Step 5: Solve for x
    x = 69,581,218,345.92/230,071.20
  6. Step 6: Final answer
    x = 302,433.41

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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.