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Finding the Fourth Proportional to 151,606.83, 209,175.44 and 97,894.11

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Solution

The fourth proportional to 151,606.83, 209,175.44 and 97,894.11 is: 135,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,606.83 : 209,175.44 = 97,894.11 : x
  2. Step 2: Convert to fraction form
    151,606.83/209,175.44 = 97,894.11/x
  3. Step 3: Cross multiply
    151,606.83x = 209,175.44 × 97,894.11
  4. Step 4: Simplify right side
    151,606.83x = 20,477,043,043.19
  5. Step 5: Solve for x
    x = 20,477,043,043.19/151,606.83
  6. Step 6: Final answer
    x = 135,066.76

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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.