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Finding the Fourth Proportional to 203,048.40, 304,313.40 and 97,640.40

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Solution

The fourth proportional to 203,048.40, 304,313.40 and 97,640.40 is: 146,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,048.40 : 304,313.40 = 97,640.40 : x
  2. Step 2: Convert to fraction form
    203,048.40/304,313.40 = 97,640.40/x
  3. Step 3: Cross multiply
    203,048.40x = 304,313.40 × 97,640.40
  4. Step 4: Simplify right side
    203,048.40x = 29,713,282,101.36
  5. Step 5: Solve for x
    x = 29,713,282,101.36/203,048.40
  6. Step 6: Final answer
    x = 146,335.96

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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.