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Finding the Fourth Proportional to 205,002.40, 307,503.60 and 202,237.60

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Solution

The fourth proportional to 205,002.40, 307,503.60 and 202,237.60 is: 303,356.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,002.40 : 307,503.60 = 202,237.60 : x
  2. Step 2: Convert to fraction form
    205,002.40/307,503.60 = 202,237.60/x
  3. Step 3: Cross multiply
    205,002.40x = 307,503.60 × 202,237.60
  4. Step 4: Simplify right side
    205,002.40x = 62,188,790,055.36
  5. Step 5: Solve for x
    x = 62,188,790,055.36/205,002.40
  6. Step 6: Final answer
    x = 303,356.40

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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.