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Finding the Fourth Proportional to 205,809.40, 308,541.30 and 107,313.40

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Solution

The fourth proportional to 205,809.40, 308,541.30 and 107,313.40 is: 160,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,809.40 : 308,541.30 = 107,313.40 : x
  2. Step 2: Convert to fraction form
    205,809.40/308,541.30 = 107,313.40/x
  3. Step 3: Cross multiply
    205,809.40x = 308,541.30 × 107,313.40
  4. Step 4: Simplify right side
    205,809.40x = 33,110,615,943.42
  5. Step 5: Solve for x
    x = 33,110,615,943.42/205,809.40
  6. Step 6: Final answer
    x = 160,880.00

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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.