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Finding the Fourth Proportional to 208,796.24, 288,088.84 and 119,349.84

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Solution

The fourth proportional to 208,796.24, 288,088.84 and 119,349.84 is: 164,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,796.24 : 288,088.84 = 119,349.84 : x
  2. Step 2: Convert to fraction form
    208,796.24/288,088.84 = 119,349.84/x
  3. Step 3: Cross multiply
    208,796.24x = 288,088.84 × 119,349.84
  4. Step 4: Simplify right side
    208,796.24x = 34,383,356,959.79
  5. Step 5: Solve for x
    x = 34,383,356,959.79/208,796.24
  6. Step 6: Final answer
    x = 164,674.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.