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Finding the Fourth Proportional to 202,914.99, 280,066.82 and 118,043.19

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Solution

The fourth proportional to 202,914.99, 280,066.82 and 118,043.19 is: 162,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,914.99 : 280,066.82 = 118,043.19 : x
  2. Step 2: Convert to fraction form
    202,914.99/280,066.82 = 118,043.19/x
  3. Step 3: Cross multiply
    202,914.99x = 280,066.82 × 118,043.19
  4. Step 4: Simplify right side
    202,914.99x = 33,059,980,255.74
  5. Step 5: Solve for x
    x = 33,059,980,255.74/202,914.99
  6. Step 6: Final answer
    x = 162,925.27

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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.