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Finding the Fourth Proportional to 208,744.88, 288,095.08 and 116,899.14

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Solution

The fourth proportional to 208,744.88, 288,095.08 and 116,899.14 is: 161,336.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744.88 : 288,095.08 = 116,899.14 : x
  2. Step 2: Convert to fraction form
    208,744.88/288,095.08 = 116,899.14/x
  3. Step 3: Cross multiply
    208,744.88x = 288,095.08 × 116,899.14
  4. Step 4: Simplify right side
    208,744.88x = 33,678,067,090.23
  5. Step 5: Solve for x
    x = 33,678,067,090.23/208,744.88
  6. Step 6: Final answer
    x = 161,336.01

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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.